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IZUMIYA Shyuichi  泉屋 周一

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IZUMIYA Shiyuici  泉屋 周一

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Researcher Number 80127422
Other IDs
External Links
Affiliation (based on the past Project Information) *help 2018 – 2021: 北海道大学, 理学研究院, 名誉教授
2016 – 2017: 北海道大学, 理学研究院, 特任教授
2016: 北海道大学, 理学(系)研究科(研究院), 特任教授
2012 – 2015: 北海道大学, 理学(系)研究科(研究院), 教授
2014: 北海道大学, 大学院理学研究科, 教授 … More
2013: 北海道大学, 大学院・理学研究院, 教授
2007 – 2011: Hokkaido University, 大学院・理学研究院, 教授
2009: 北海道大学, 大学院・理学研究科, 教授
2007: Hokkaido University, Graduate School of Science, Professor
2006: 北海道大学, 大学院理学研究科, 教授
2006: Hokkaido University, Department of Mathematics, Professor, 大学院理学研究院, 教授
1995 – 2005: 北海道大学, 大学院・理学研究科, 教授
1998: 北海道大学, 大学院理学研究科, 教授
1995: Hokkaido University, Graduate School of Sciences, Professor, 大学院理学研究科, 教授
1990 – 1994: 北海道大学, 理学部, 助教授
1988: DEPARTMENT OF MATHEMATICS, HOKKAIDO UNIVERSITY, 理学部, 助教授
1986: DEPARTMENT OF MATHEMATICS, HOKKAIDO UNIVERSITY Associate Prof., 理学部, 助教授 Less
Review Section/Research Field
Principal Investigator
Geometry / Geometry / 代数学・幾何学 / Basic Section 11020:Geometry-related
Except Principal Investigator
Geometry / Geometry / 代数学・幾何学 / Global analysis / Algebra / 解析学 / Mathematical Sciences in Search of New Cooperation / Basic Section 11020:Geometry-related / Medium-sized Section 11:Algebra, geometry, and related fields
Keywords
Principal Investigator
特異点 / ミンコフスキー空間 / ラグランジュ特異点 / 特異点論 / 事象の地平線 / ルジャンドル特異点 / ハミルトン・ヤコビ方程式 / 微分幾何学 / ブラックホール / 反ド・シッター空間 … More / 光的超曲面 / 非線形現象 / 世界面 / 特異性 / 線織面 / ベルトラン曲線 / 重力場レンズ / ブレーン / ガウス・ボンネ型定理 / 擬球面 / 相対性理論 / 双曲空間 / ブレーン宇宙論 / 反ド・ジッター空間 / ミンコフスキー時空 / ローレンツ空間形 / 焦点集合 / ルジャンドル多様体 / 衝撃波 / 一階偏微分方程式 / 接融多様体 / ルジャンドル部分多様体 / ホロノミ-系 / 点変換 / ハミルトン-ヤコビ-ベルマン / 保存則 / Web / クレロー型方程式 / ハミルトン-ヤコビ方程式 / ラグランジュ特異部分多様体 / 平均曲率の発展方程式 / 線叢 / 第2定傾曲線 / 中心アファイン幾何学 / 平均曲率 / 円織面 / カーデザイン / 定傾曲線 / ガウス曲率 / トム多項式 / モチビック不変量 / 特性類 / 映像理論 / 特異点解消 / 重力場レンズ現象 / 一般相対推理 / シンプレクティック幾何 / ローレンツ幾何 / 厳密重力場レンズ方程式 / 光錐的超曲面 / ド・シッター空間 / 多重重力場レンズ / シンプレクテイック関係 / 焦線 / 微分幾何 / 偏微分方程式 / シンプレクテイック幾何 / 接触幾何 / 画像処理,ブレーン宇宙 / 反ドジッター空間 / 斜傾幾何学 / ルジャンドル双対性 / 双対性の曼荼羅 / 画像処理 / ホロタイトはめ込み / ホロ凸 / ホロ平坦 / シンプレクテイック幾何学 / 双対性 / ホロ球面 / 線形ワインガルテン曲面 / 非ブライアント型 / ラグランジュ・ルジャンドル特異点 / AdS / CFT-対応 / ホログラフィック原理 / ガウス写像 / ブレーン宇宙 / アンチドシッター空間 / 対性理論 / アインシュタイン方程式 / 真空解 / ガウス・クロネッカー曲率 / 余次元2空間的部分様体 / 光的ガウス写像 / ローレンツ不変量 / 焦面 / 世界膜 / 光的タイト部分多様体 / 限界捕捉面 / ブレーンワールド / 極小曲面 / 極大曲面 / 平均曲率一定 / 光的幾何学 / 焦集合 / 光的絶対全曲率 / 大域的性質 / 空間的部分多様体 / 余次元 / 宇宙論 / 余次元2 / 管状部分多様体 / 波面 / 時空 / 波面の伝播 / コーシー地平面 / 幾何学 / スピントロニクス / 垂足部分集合 / カスプ辺 / トポロジカル絶縁体 / 光化学反応 / ホログラフィー原理 / バルクエッジ対応 / バンド交差 / ツバメの尾曲面 / 垂足曲線 / グラフ型大波面 / バンド交差理論 / グラフ型波面 / Darboux枠 / Hamilton-Jacobi方程式 / 保存則の方程式 / 粘性解 / ファセット面 / ギンツブルブランダウ方程式 / ラグランジ安定性 / コホモロジー / ギンツブルクランダウ方程式 / シンプレクティック多様体 / 非線形偏微分方程式 / ルジャンドル組み紐 / シュレディンガー方程式 / Hamilton-Jacobi equations / Conservation laws / Viscosity sokutions / Shock waves / Fascet surfaces / Ginzburg-Landau equations / Lagrangian stability / Cohomology / アイコナル方程式 / 重力レンズ / 4頂点定理 / 双曲的ガウス写像 / ラグランジュはめ込み / 弱解 / ヘルムホルツ方程式 / 漸近解 / ダルブー可展開面 / コンピュータグラフィックス / 特性曲線 / ローレンツ微分幾何学 / 双曲平面 / コンピュータ・グラフィックス / ヘルムポルツ方程式 / モンジュ・アンペール方程式 / ローレンツ微分幾何 / 光的曲面 / 双曲的縮閉線 / The Eikonal equations / Gravitation lens / Minkowski space / ruled surface / four vertices theorem / hyperbolic Gauss map / Lagrangian immersion / Weak solution / 位相幾何学 / 力学系 / 変換群 / 力学素 / ホモトピー論 / 光錐 / 平行超曲面 / 結び目理論 / 変換群論 / 4次元多様体 / モース理論 / Singularities / Topology / Differential Geometry / Dynamical System / Transformation group / 幾何学的同値関係 / 応用特異点論 … More
Except Principal Investigator
特異点 / 接触構造 / シンプレクティック構造 / 接触変換 / 可積分測地流 / トーリック多様体 / symplectic 構造 / 正則曲線 / 可積分系 / Floer 理論 / Lagrange 部分多様体 / 擬正則曲線 / Integrable geodesic flow / Integrable system / 特異葉層構造 / A-無限大構造 / 多様体 / ラグランジュ部分多様体 / 葉層 / Web / Foliation / 単純特異点 / ハミルトン力学 / シンプレクティック幾何学 / リウヴィル多様体 / Hamiltonian mechanics / Liouville manifolds / Floerホモロジー / contact structure / Floer homology / モンジュ・アンペール方程式 / singularity / 群作用 / 葉層構造 / 特異点集合 / 単純階別リー環 / 局所同値問題 / 安定性 / 力学系 / 変形理論 / Floer理論 / 結び目 / 接触幾何学 / symplectic構造 / ガウス曲率 / 微分幾何学 / ガウス写像 / ミラー対称性 / 倉西構造 / 特異点理論 / 特性類 / 特異多様体 / singular varieties / 半古典近似 / Symplectic geometry / Riemannian geometry / Geodesic flow / Semiclassical approximation / Lagrangian submanifold / simple singularity / Monge-Ampere equation / フロアー・ホモロジー / symplectic structure / 写像類群 / Zoll / foliation / 特異点論 / 夛様体 / Baum-Bottの留数 / Lehmannの留数 / 微分式系(difefrential system) / 複素解析的特異葉層構造 / 不変部分多様体 / Cech-de Rham cohomology / 特性類の留数 / 微分式系(differential system) / Kahler多様体 / Liouville多様体 / ギンツブルグランダウ方程式 / ホップ分岐 / Ten Aホモログ / 数値微分 / 蛋白質立体構造解析 / 等位面法 / ハミルトン・ヤコビ方程式 / A_∞-構造 / 概正則曲線 / Floer theory / Lagrangian submanifolds / Gromov-Witten invariants / flux conjecture / A-infinity structure / quantum cohomology / toric manifolds / Floer cohomology / pseudo-holomorphic curves / A-infinity algebra / Hamiltonian diffeomorphisms / 位相幾何 / トポロジー / 群 / シンプレクティック幾何 / トーリックトポロジー / 微分式系 / 階別単純リー環 / 包合系 / 高次ジェット空間 / 有限型微分方程式系 / 擬正則写像 / 幾何学 / toric 多様体 / Lagrange部分多様体 / toric多様体 / A-infinity構造 / Hamilton系 / 半正定値計量 / 曲面 / 曲線 / 超曲面 / 波面 / 4頂点定理 / 極大曲面 / ガウス・ボンネの定理 / 変曲点 / 4頂点定理 / 双対性 / tangent surface / opening construction / open swallowtail / open Mond surface / open Scherback surface / hyperfield / Cartan's G2-geometry / triality / totally singular curve / conical control system / D-singularity theory / null-frontal / sub-Riemann metric / opening / open swallowrtail / open folded pleat / open Scherbak surface / tangent variety / Cartan structure / singular trajectory / normal form / versal opening / frontal map / tangent map / sub-Finsler structure / Carnot-Caratheodory metric / sub-front / A 無限大構造 / 倉西構造と仮想的基本鎖 / スペクトル不変量 / ハミルトン微分同相写像 / 正則曲線と量子コホモロジー / 複素解析幾何学 / 開折理論 / 特異点の留数 / 時異葉層構造 / 開析理論 / 解複体 / 特性多様体 / Complex analytic geometry / Singularity theory / Singular foliation / Unfolding theory / Singular set / 3次元3次超曲面 / C^3のcompact化 / ベクトル場の留数 / 準線形微分方程式 / Whiteneyの開いた傘 / Lagrange安定 / 複素多様体 / 3次超曲面 / ファノ多様体 / A cubic threefold / Compactifications of C^3 / Residue of a vector field / Open Whitney umbrella / Quasi-linear differential equation / Lagrange stable / Wed / ベクトル場 / 指数と留数 / 局所化 / ベットル場 / 正則ベクトル場 / 留数 / vector fields / singular foliations / indices and residues / localization / characteristic classes / 表現論 / Mackey反応 / アーベル多様体 / モジュライ / McKay対応 / マッカイ対応 / 商特異点 / ヒルベルト スキーム / スタビリィティ(安定性) / ヒルベルトスキーム / マッケイ対応 / ツイスター空間 / ハイパーケーラー多様体 / モノドロミ- / 横断性定理 / Representation / Singularity / Simple singularity / McKay correspondence / Abelian variety / moduli / Stability / 接触交換 / 超幾何方程式系 / 準線形二階偏微分方程式 / 超性解の分岐 / ラフランシュ安定性 / 超楕円写像類群 / 準線形一階偏微分方程式 / 例外形単純リー環 / 二階の過剰決定系 / 二階偏微分方程式系 / 例外単純リー環 / 同値問題 / 超幾何微分方程式系 / Contact Transformation / Hypergeometric Systems / Quasi-linear First Order PDE / Viscosity Solution / Lagrange Stability / Hyperelliptic mopping class groups / WEB / CHERN接続 / 複素力学系 / 非可解群作用 / 一階偏微分方程式 / 高階拳微分方程式 / 高階偏微分方程式 / 一階微分方程式 / ルジャンドル / pseudo group / 留数公式 / Chern onnection / Complex dynamics / Non solvable Dynamics / First Order PDE / Higher Order ODE / 超平面配置 / 超幾何積分 / 局所系コホモロジー / 鏡映群 / コクセタ-群 / hyperplane arrangement / hypergeometric integral / local system cohomology / reflection group / リーマン多様体 / 測地線 / クウヴィル多様体 / J-正則曲線 / Gromov-Witten不変量 / Seiberg-Wittem不変量 / Floer ホモロジー / Gromov-Witten 不変量 / Seiberg-Witten 不変量 / Symplectic 構造 / ラグランジアン部分多様体 / Symplectic structure / J-holomorphic curves / Gromov-Witten invariant / Seiberg-Witten invariant / シンプレクティック欠損 / 接触幾何 / グラスマン幾何 / 双対多様体 / 可展部分多様体 / シンプレクティック・モデュライ / 接触同値 / ギベンタル予想 / 非ホロノーム横断性定理 / 非ホロノームホモトピー原理 / 可展面 / 等径超曲面 / 極小曲面 / ルジャンドル特異点 / ケーリー8元数体 / 可展超曲面 / 射影構造 / 等質空間 / ラグランジュ特異点 / ケーレー8元体 / 射影微分幾何 / symplectic defect / contact geometry / Grassmannian geometry / Gauss mapping / dual variety / developable submanifold / 高階有限型微分方程式系 / 調和写像と可積分系 / 測地流と可積分系 / Gauss-Schwarz理論 / Gaup.Schwary理論 / 解の特異点 / 調和写像 / 高階有限型微分方程式 / 射影部分多様体論 / 過剰決定系 / Contact transformations / Monge-Ampere equations / Systems of higher order partial differential equations of finite type / Harmonic mappings and Integrable systems / Geodesic flows and Integrade systems / Gauss-Schwarz theory / 特性類の局所他 / Schwartz-MacPherson類 / Fulton-Jphnsan類 / Milnor類 / 多重度 / 連接層 / Riemann-Rochの定理 / 特性類の局所化 / Fulton-Johnson類 / Milnor数 / Riemanu-Rochの定理 / localization of characteristic classes / Schwartz-MacPherson class / Fulton-Johnson class / Milnor class / multiplicity / coherent sheaves / Riemann-Roch theorem / フロアーホモロジー / シンプレクティック・フィリング / ミルナー・ファイバー / A_∞-代数 / モノポール方程式 / リーマン幾何学 / 測地流 / シンブレクティック幾何学 / ケーラー・リウヴィル多様体 / マスロフの量子化条件 / 代数的トポロジー / 位相幾何学 / 葉層構造論 / 一般位相 / 3次元多様体論 / ゲージ理論 / Algebraic Topology / Topology / Foliations / Mapping Class Groups / General Topology / Three Dimensional Manifolds / Sinqularity Theory / Gauge Theory / 周期的測地流 / 楕円体 / Zoll計量 / バミルトン力学 / Periodic geodesic flow / Symplectiic geometry / Eillipsoid / 定性論 / 相似変換擬群 / 例外的極小集合 / quaolitative theory / similarity pseudogioup / exceptional minimal sec / フロアー・コホモロジー / 孤立特異点 / pseudo holomorphic curve / グルサ分布 / 特異ルジャンドル多様体 / コイソトロピック写像 / シンプレクティック・モデュライ空間 / 特異ルジャンドル結び目 / 写像商空間 / ユニモダル平面曲線 / ガウス・クロネッカー曲率 / 接触モデュライ空間 / ユニモダル特異点 / モンジュ・アンペール系 / アイソトロピック写像 / 特異ラグランジュ多様体 / グルサ系 / 非固有アフィン曲面 / ルジャンドル曲線 / 微分構造 / サーストン・ベネカン不変量 / マスロフ不変量 / 非正規型常微分方程式 / 解空間零点定理 / Goursat distribution / singular Legendre submanifolds / coisotropic mapping / symplectic moduli space / singular Legendre knot / mapping space quotient / uni-modal plane curve / 基本群 / 格子 / 符号 / K3曲面 / 代数曲面 / ガロア被覆 / 柊子 / 代数多様体 / 6次曲線 / tundamental group / lattice / code / K3 surface / algebraic surface / Galocs cover / 線織面 / 円織面 / ローラーコースター曲面 / ミンコフスキ-n次元空間 / フラフープ曲面 / ホロ球面 / ミンコフスキー空間 / サイクライド / ルジャンドル特異点論 / 空間的イソトピー / 3次元ミンコフスキー空間 / 線叢 / ベックルンド変換 / 光錐的ガウス写像 / ローレンツ幾何学 / ruled surface / circular surface / differential geometry / singularities / roller coaster surface / Minkowski n-space / 写像群 / 双曲空間 / ホモトピー群 / manifold / roun action / dynamical systems / manning class group / hyperbolic space / homotopv group / リー環 / 作用素環 / Manifold / Characteristic Class / Group Action / Lie Algebra / Singular Point / Cー環 / 詳作用 / 週期軌道 / 微分方程式 / 指数 / ポアソン構造 / C^☆-環 / C^〓ー環 / Gー構造 / 周期軌道 / 偏微分方程式 / MANIFOLD / FOLIATION / SINGULARITY / C^*-ALGEBRAS / GROUP ACTION / PERIODIC ORBIT / DIFFERENTIAL EQUATION / 常微分方程式系 / カルタン接続 / 自己同型群 / 積分 / 不変量 / 幾何構造 / SYSTEM OF ORDINARY DIFFERENTIAL EQUATION / INVARIANT / CARTAN CONNECTION / AUTOMORPHISM GROUP / 包括的標準系 / 混合加群 / 計算代数 / 発散図式 / 多目的最適化 / 包括的グレブナー系 / 応用特異点論 / 倉西構造と仮装基本類・基本鎖 / シンプレクティック 構造 / 正則写像 / orbifold Less
  • Research Projects

    (58 results)
  • Research Products

    (177 results)
  • Co-Researchers

    (136 People)
  •  Geometric equivalence among singularities and its applicationsPrincipal Investigator

    • Principal Investigator
      泉屋 周一
    • Project Period (FY)
      2020 – 2022
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Hokkaido University
  •  Automation of Classification of Singularity by using Comprehensive Groebner Systems

    • Principal Investigator
      寺本 央
    • Project Period (FY)
      2019 – 2022
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Kansai University
      Hokkaido University
  •  Studies on Floer theory and symplectic, contact structures

    • Principal Investigator
      小野 薫
    • Project Period (FY)
      2019 – 2023
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Review Section
      Medium-sized Section 11:Algebra, geometry, and related fields
    • Research Institution
      Kyoto University
  •  非断熱交差の分類、分岐および制御とその近傍での動力学の解明

    • Principal Investigator
      寺本 央
    • Project Period (FY)
      2016 – 2018
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Mathematical Sciences in Search of New Cooperation
    • Research Institution
      Hokkaido University
  •  Development of Floer theory and study on symplectic structures

    • Principal Investigator
      ONO Kaoru
    • Project Period (FY)
      2014 – 2018
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Geometric studies on singularity of non-linear phenomenaPrincipal Investigator

    • Principal Investigator
      Izumiya Shyuichi
    • Project Period (FY)
      2014 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  Event horizons of higher dimensional space-time and the theory of Lagrange/Legendrian singularitiesPrincipal Investigator

    • Principal Investigator
      IZUMIYA Shyuichi
    • Project Period (FY)
      2012 – 2014
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  Geometry of curves, surfaces and hypersurfaces with singularities

    • Principal Investigator
      UMEHARA Masaaki
    • Project Period (FY)
      2010 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Institute of Technology
      Osaka University
  •  A research on the geometric singularities of non-linear phenomenaPrincipal Investigator

    • Principal Investigator
      IZUMIYA Shyuichi
    • Project Period (FY)
      2010 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  The synthetic study by real algebraic geometry, from sub-Riemannian geometry to tropical geometry

    • Principal Investigator
      GOO Ishikawa
    • Project Period (FY)
      2010 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      Hokkaido University
  •  Studies on Floer thoery, theory of holomorphic curves and symplectic structures, contact structures

    • Principal Investigator
      ONO Kaoru
    • Project Period (FY)
      2009 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
      Hokkaido University
  •  Research on the singularities and the event horizon in the brane world modelPrincipal Investigator

    • Principal Investigator
      IZUMIYA Shyuichi
    • Project Period (FY)
      2009 – 2011
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  Overall study of topology

    • Principal Investigator
      MASUDA Mikiya
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Osaka City University
  •  Research on the differential sysytems and geometric structures associated with simple graded Lie algebras

    • Principal Investigator
      YAMAGUCHI Keizo
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  Differential Geometry and Partial Differential Equations as an application of Singularity theoryPrincipal Investigator

    • Principal Investigator
      IZUMIYA Shyuichi
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  Study on Floer theory and symplectic geometry

    • Principal Investigator
      KAORU Ono
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  事象の地平線と重力場レンズ現象に現れる特異点の研究Principal Investigator

    • Principal Investigator
      泉屋 周一
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  Synthetic Studies ofTopology

    • Principal Investigator
      MATSUMOTO Shigenori
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Nihon University
  •  Study of surfaces from the viewpoints of differential geometry and singularity theory

    • Principal Investigator
      TAKEUCHI Nobuko
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      TOKYO GAKUGEI UNIVERSITY
  •  重力場レンズ現象に現れる特異点の研究Principal Investigator

    • Principal Investigator
      泉屋 周一
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  距離関数の特異性とその蛋白質立体構造解析への応用

    • Principal Investigator
      中村 玄
    • Project Period (FY)
      2003 – 2004
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Global analysis
    • Research Institution
      Hokkaido University
  •  Research on several geometry from the view point of sinuglarity theoryPrincipal Investigator

    • Principal Investigator
      IZUMIYA Shyuichi
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  特異点論とその応用Principal Investigator

    • Principal Investigator
      泉屋 周一
    • Project Period (FY)
      2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  Floor homology, singularities and deformation theory

    • Principal Investigator
      ONO Kaoru
    • Project Period (FY)
      2002 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  Applied singularity theory to exterior differential systems

    • Principal Investigator
      ISHIKAWA Goo
    • Project Period (FY)
      2002 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  Fundamental groups of algebraic varieties

    • Principal Investigator
      SHIMADA Ichiro
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  Integrable geodesic flows and Masloy's quantization condition

    • Principal Investigator
      KIYOHARA Kazuyoshi
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  Geometries related to foliations

    • Principal Investigator
      NISHIMORI toshiyuki
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  線叢と線織面の特異点論的研究Principal Investigator

    • Principal Investigator
      泉屋 周一
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  Various Aspects of Topology

    • Principal Investigator
      TSUBOI Takashi
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
  •  Research of Systems of Partial Differential Equations from the view point of Contact Geometry

    • Principal Investigator
      YAMAGUCHI Keizo
    • Project Period (FY)
      1999 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  Research on Characteristic Classes of Singular Varieties

    • Principal Investigator
      SUWA Tatsuo
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  Symplectic structures and singularities

    • Principal Investigator
      ONO Kaoru
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  Integrable geodesic flows and semi-classical approximations

    • Principal Investigator
      KIYOHARA Kazuyoshi
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  Singularity theoretical research on Partial Differential Equations and Differential GeometryPrincipal Investigator

    • Principal Investigator
      IZUMIYA Shyuichi
    • Project Period (FY)
      1998 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  Projective contact geometry and singularity theory

    • Principal Investigator
      ISHIKAWA Goo
    • Project Period (FY)
      1998 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      HOKKAIDOUNIVERSITY
  •  Study of Hyperplane Arrangements

    • Principal Investigator
      TAKEDA Yuichiro, 寺尾 宏明
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      TOKYO METROPOLITAN UNIVERSITY
      Hokkaido University
  •  Classical theory and quantization on integrable geodesic flows

    • Principal Investigator
      KIYOHARA Kazuyoshi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  Study on symplectic structures and contact structures

    • Principal Investigator
      ONO Kaoru
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      HOKKAIDO UNIVERSITY
      Ochanomizu University
  •  ギンツブルグ ランダウ 方程式の解の構造の研究

    • Principal Investigator
      JIMBO Shuichi
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Hokkaido University
  •  Study of singularities and geometry by means of representation theory

    • Principal Investigator
      NAKAMURA Iku
    • Project Period (FY)
      1996 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  Geometry and Analysis of non-linear Partial Differentail EquationsPrincipal Investigator

    • Principal Investigator
      IZUMIYA Shyuichi
    • Project Period (FY)
      1996 – 1997
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  Contact Geometry of Second Order

    • Principal Investigator
      YAMAGUCHI Keizo
    • Project Period (FY)
      1996 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido Univ.
  •  First Order Partial Differential Equation and WEB Geometry

    • Principal Investigator
      NAKAI Isao
    • Project Period (FY)
      1996 – 1997
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  Research on Complex Analytic Geometry and Singularity Theory

    • Principal Investigator
      SUWA Tatsuo
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  複素解析的葉層構造の特異点の研究

    • Principal Investigator
      諏訪 立雄
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Hokkaido University
  •  二階の接触幾何学

    • Principal Investigator
      山口 佳三
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  偏微分方程式の幾何と解析Principal Investigator

    • Principal Investigator
      泉屋 周一
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  可積分測地流

    • Principal Investigator
      KIYOHARA Kazuyosi
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  Study on Complex Manifolds

    • Principal Investigator
      NAKAMURA Iku
    • Project Period (FY)
      1994 – 1995
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Hokkaido University
  •  偏微分方程式の幾何学的理論と特異点Principal Investigator

    • Principal Investigator
      泉屋 周一
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  複素解析的葉層構造の特異点の研究

    • Principal Investigator
      SUWA Tatsuo
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Hokkaido University
  •  二階の接触幾何学

    • Principal Investigator
      YAMAGUCHI Keizo
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Hokkaido University
  •  一階偏微分方程式と特異点Principal Investigator

    • Principal Investigator
      泉屋 周一
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Hokkaido University
  •  Research on Complex Analytic Geometry and Singularity Theory

    • Principal Investigator
      SUWA Tatsuo
    • Project Period (FY)
      1990 – 1991
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      代数学・幾何学
    • Research Institution
      Hokkaido University
  •  GEOMETRY OF MANIFOLDS

    • Principal Investigator
      SUZUKI Haruo
    • Project Period (FY)
      1987 – 1988
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      代数学・幾何学
    • Research Institution
      DEPARTMENT OF MATHEMATICS, HOKKAIDO UNIVERSITY
  •  GEOMETRY THEORY OF SYSTEMS OF ORDINARY DEFFERENTIAL EQUATIONS

    • Principal Investigator
      TANAKA Noboru
    • Project Period (FY)
      1987 – 1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      DEPARTMENT OF MATHEMATICS, HOKKAIDO UNIVERSITY
  •  GEOMETRY OF MANIFOLDS

    • Principal Investigator
      SUZUKI Haruo
    • Project Period (FY)
      1985 – 1986
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      代数学・幾何学
    • Research Institution
      HOKKAIDO UNIVERSITY

All 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 Other

All Journal Article Presentation Book

  • [Book] 波面の伝播と特異点2018

    • Author(s)
      泉屋 周一
    • Total Pages
      264
    • Publisher
      共立出版
    • ISBN
      4320113365
    • Data Source
      KAKENHI-PROJECT-26287009
  • [Book] Differential Geometry from a Singularity Theory Viewpoint2016

    • Author(s)
      S. Izumiya, M.C. Romero Fuster, M. A. Soares Ruas and F. Tari
    • Total Pages
      368
    • Publisher
      World Scientific
    • Data Source
      KAKENHI-PROJECT-26287009
  • [Book] 座標幾何学演習2009

    • Author(s)
      泉屋周一
    • Total Pages
      127
    • Publisher
      日科技連出版社
    • Data Source
      KAKENHI-PROJECT-18340013
  • [Book] 座標幾何学2008

    • Author(s)
      泉屋周一
    • Total Pages
      213
    • Publisher
      日科技連出版社
    • Data Source
      KAKENHI-PROJECT-18340013
  • [Book] 座標幾何学演習2008

    • Author(s)
      竹内伸子, 泉屋周一, 村山光孝
    • Publisher
      日科技連出版
    • Data Source
      KAKENHI-PROJECT-18340013
  • [Book] 座標幾何学-古典的解析幾何学入門-2008

    • Author(s)
      竹内伸子, 泉屋周一, 村山光孝
    • Publisher
      日科技連出版
    • Data Source
      KAKENHI-PROJECT-18340013
  • [Book] 初級線形代数2008

    • Author(s)
      泉屋周一
    • Total Pages
      110
    • Publisher
      共立出版
    • Data Source
      KAKENHI-PROJECT-18654007
  • [Book] 初級線形代数2008

    • Author(s)
      泉屋周一
    • Total Pages
      110
    • Publisher
      共立出版
    • Data Source
      KAKENHI-PROJECT-18340013
  • [Book] 座標幾何学-古典的解析幾何学入門-2008

    • Author(s)
      竹内伸子、泉屋周一、村山光孝
    • Publisher
      日科技連出版
    • Data Source
      KAKENHI-PROJECT-18340013
  • [Book] Singularity theory and Its Applications, Advanced Studies in Pure Mathematics2006

    • Author(s)
      S. Izumiya, G. Ishikawa, H. Tokunaga, I. Shimada, T. Sano
    • Publisher
      Mathematical Society of Japan
    • Data Source
      KAKENHI-PROJECT-18340013
  • [Book] Singularity theory and Its Applications2006

    • Author(s)
      S. Izumiya, G. Ishikawa, H. Tokunaga, I. Shimada and T. Sano
    • Publisher
      Pure Mathematics vol. 43 Mathematical Society of Japan
    • Data Source
      KAKENHI-PROJECT-18340013
  • [Book] 切って,見て,触れてよくわかる「かたち」の数学2005

    • Author(s)
      泉屋 周一
    • Total Pages
      133
    • Publisher
      日科技連出版
    • Data Source
      KAKENHI-PROJECT-15654008
  • [Book] 切って、見て、触れてよくわかる「かたち」の数学2005

    • Author(s)
      泉屋周一
    • Total Pages
      133
    • Publisher
      日科技連出版
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15204002
  • [Book] Cutting, Looking and Touching, Easy understanding "Mathematics of Shape" (In Japanese)2005

    • Author(s)
      S.Izumiya
    • Total Pages
      133
    • Publisher
      Nikka Giren Publ.
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15204002
  • [Journal Article] Application of Singularity Theory to Bifurcation of Band Structures in Crystals2020

    • Author(s)
      Teramoto H.、Tsuchida A.、Kondo K.、Izumiya S.、Toda M.、Komatsuzaki T.
    • Journal Title

      Journal of Singularities

      Volume: 21 Pages: 268-281

    • DOI

      10.5427/jsing.2020.21p

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-19K03484, KAKENHI-PROJECT-18K18714, KAKENHI-PROJECT-19K03653
  • [Journal Article] Erratum: “Classification of Hamiltonians in neighborhoods of band crossings in terms of the theory of singularities” [J. Math. Phys. 58, 073502 (2017)]2019

    • Author(s)
      Teramoto Hiroshi、Kondo Kenji、Izumiya Shyuichi、Toda Mikito、Komatsuzaki Tamiki
    • Journal Title

      Journal of Mathematical Physics

      Volume: 60 Pages: 129901-129901

    • DOI

      10.1063/1.5131379

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03484
  • [Journal Article] Generalized Sabban Curves in the Euclidean n-Sphere and Spherical Duality2017

    • Author(s)
      Izumiya Shyuichi、Nagai Takayuki
    • Journal Title

      Results in Mathematics

      Volume: 72 Pages: 401-417

    • DOI

      10.1007/s00025-017-0685-5

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-26287009
  • [Journal Article] Flat surfaces along cuspidal edges2017

    • Author(s)
      Izumiya Shyuichi、Saji Kentaro、Takeuchi Nobuko
    • Journal Title

      Journal of Singularity

      Volume: 16 Pages: 73-100

    • DOI

      10.5427/jsing.2017.16c

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-26287009
  • [Journal Article] Classification of Hamiltonians in neighborhoods of band crossings in terms of the theory of singularities2017

    • Author(s)
      Teramoto Hiroshi、Kondo Kenji、Izumiya Shyuichi、Toda Mikito、Komatsuzaki Tamiki
    • Journal Title

      J. Math. Physics

      Volume: 58 Pages: 073502-073502

    • DOI

      10.1063/1.4991662

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16K04872, KAKENHI-PROJECT-26287009, KAKENHI-PROJECT-15KT0055
  • [Journal Article] Horospherical and hyperbolic dual surfaces of spacelike curves in de Sitter space2017

    • Author(s)
      Izumiya Shyuichi、Nabarro Ana Claudia、Sacramento Andrea de Jesus
    • Journal Title

      Journal of Singularities

      Volume: 16 Pages: 180-193

    • DOI

      10.5427/jsing.2017.16h

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287009
  • [Journal Article] Caustics of world hyper-sheets in the Minkowski space-time.2016

    • Author(s)
      Shyuichi Izumiya
    • Journal Title

      Contemp. Math.

      Volume: 675 Pages: 133-151

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-26287009
  • [Journal Article] Lorentzian Darboux images of curves on spacelike surfaces in Lorentz-Minkowski 3-space2016

    • Author(s)
      Noriaki Ito and Shyuichi Izumiya,
    • Journal Title

      Int. J. Geom. Methods Mod. Phys.

      Volume: 13

    • DOI

      10.1142/s0219887816500663

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-26287009
  • [Journal Article] Geometric interpretation of Lagrangian equivalence2016

    • Author(s)
      Shyuichi Izumiya
    • Journal Title

      Canad. Math. Bull.

      Volume: 59 Pages: 806-812

    • DOI

      10.4153/cmb-2016-056-2

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-26287009
  • [Journal Article] Lightlike hypersurfaces along spacelike submanifolds in anti-de Sitter space2015

    • Author(s)
      Shyuichi Izumiya
    • Journal Title

      Journal of Math.Phys.

      Volume: 56

    • DOI

      10.1063/1.4936148

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-26287009
  • [Journal Article] Lightlike hypersurfaces along spacelike submanifolds in de Sitter space2014

    • Author(s)
      Shyuichi Izumiya and Takami Sato
    • Journal Title

      Journal of Singularities

      Volume: 10 Pages: 157-173

    • DOI

      10.5427/jsing.2014.10j

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-24654008, KAKENHI-PROJECT-26287009
  • [Journal Article] Anti de Sitter horospherical flat timelike surfaces2014

    • Author(s)
      Liang Chen,Shyuichi Izumiya、Donghe Pei and Kentaro Saji
    • Journal Title

      Science China Mathematics

      Volume: 57 Pages: 1841-1866

    • DOI

      10.1007/s11425-014-4870-7

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24654008
  • [Journal Article] Total lightcone curvatures of spacelike submanifolds in Lorentz-Minkowski space2014

    • Author(s)
      Shyuichi Izumiya
    • Journal Title

      Differential Geometry and its Applications

      Volume: 34 Pages: 103-127

    • DOI

      10.1016/j.difgeo.2014.03.012

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24654008
  • [Journal Article] Apparent contours in the Minkowski 3-space and first order ordinary differential equations2013

    • Author(s)
      Shyuichi Izumiya and Farid Tari
    • Journal Title

      Nonlinearity

      Volume: 26 Pages: 911-932

    • DOI

      10.1088/0951-7715/26/4/911

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340011, KAKENHI-PROJECT-24654008
  • [Journal Article] Duals of curves in Hyperbolic space2013

    • Author(s)
      Ryota Hayashi, Shyuichi Izumiya and Takami, Sato
    • Journal Title

      Note di Matematica

      Volume: 33

    • DOI

      10.1285/i15900932v33n2p97

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340011
  • [Journal Article] Lightcone dualities for curves in sphere2013

    • Author(s)
      Shyuichi Izumiya, Yang Jiang and Donghe Pei
    • Journal Title

      The Quarterly Journal of Mathematics

      Volume: 64

    • DOI

      10.1093/qmath/has002

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340011
  • [Journal Article] Lightcone dualities for curves in the lightcone unit 3-sphere2013

    • Author(s)
      Shyuichi Izumiya, Yang Jiang, Takami Sato
    • Journal Title

      Journal of Mathematical Physics

      Volume: 54 Pages: 63511-63511

    • DOI

      10.1063/1.4811451

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340011, KAKENHI-PROJECT-24654008
  • [Journal Article] Lightlike hypersurfaces along spacelike submanifolds in Minowski space-time2013

    • Author(s)
      Shyuichi Izumiya, Takami Sato
    • Journal Title

      Journal of Geometry and Physics

      Volume: 71 Pages: 30-52

    • DOI

      10.1016/j.geomphys.2013.03.005

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340011, KAKENHI-PROJECT-24654008
  • [Journal Article] Slant geometry of spacelike hypersurfaces in Hyperbolic space and de Sitter space2012

    • Author(s)
      M. Asayama, S. Izumiya, A. Tamaoki and H. Yildirim
    • Journal Title

      Revista Matematica Iberoamericana

      Volume: 28 Pages: 371-400

    • DOI

      10.4171/rmi/681

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340011, KAKENHI-PROJECT-24654008
  • [Journal Article] Extensions of the mandala of Legendrian dualities for pseudo-spheres in Loretz Minkowski space2012

    • Author(s)
      Shyuichi Izumiya and Handan Yildirim
    • Journal Title

      Topology and its Applications

      Volume: 159(2) Pages: 509-518

    • DOI

      10.1016/j.topol.2011.09.026

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21654007, KAKENHI-PROJECT-24654008
  • [Journal Article] Pedal foliations and Gauss maps of hypersurfaces in Euclidean space2012

    • Author(s)
      Shyuichi Izumiya, Masatomo Takahashi
    • Journal Title

      Journal of Singularities

      Volume: 6 Pages: 84-97

    • DOI

      10.5427/jsing.2012.6g

    • NAID

      120006459692

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340011, KAKENHI-PROJECT-23740041
  • [Journal Article] Pedal foliations and Gauss maps of hypersurfaces in Euclidean space2012

    • Author(s)
      Shyuichi Izumiya and Masatomo Takahashi
    • Journal Title

      Journal of Singularities

      Volume: 6 Pages: 84-97

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24654008
  • [Journal Article] On caustics of submanifolds and canal hypersurfaces in Euclidean space2012

    • Author(s)
      Shyuichi Iziumiya and Masatomo Takahash
    • Journal Title

      Topology and its Applications

      Volume: 159(2) Pages: 501-508

    • DOI

      10.1016/j.topol.2011.09.025

    • NAID

      120003898285

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21654007, KAKENHI-PROJECT-23740041
  • [Journal Article] Great circular surfaces in the three-sphere2011

    • Author(s)
      Shyuichi Izumiya, Takayuki Nagai and Kentaro Saji
    • Journal Title

      Differential Geometry and its Applications

      Volume: 29 Pages: 409-425

    • DOI

      10.1016/j.difgeo.2011.02.005

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21654007
  • [Journal Article] Slant geometry of spacelike hypersurfaces in the lightcone2011

    • Author(s)
      Shyuichi Izumiya and Handan Yildirim
    • Journal Title

      J. Math. Soc. Japan

      Volume: 63(3) Issue: 3 Pages: 715-752

    • DOI

      10.2969/jmsj/06330715

    • NAID

      10029321803

    • ISSN
      0025-5645, 1881-1167, 1881-2333
    • Language
      English
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21654007, KAKENHI-PROJECT-22340011
  • [Journal Article] Horo-tight spheres in hyperbolic space2011

    • Author(s)
      Shyuichi Izumiya
    • Journal Title

      Geometriae Dedicata

      Volume: 154(1) Pages: 9-26

    • DOI

      10.1007/s10711-010-9565-9

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21654007, KAKENHI-PROJECT-22340011
  • [Journal Article] Great circular surfaces in three sphere2011

    • Author(s)
      Shyuichi Izumiya
    • Journal Title

      Differentaial Geometry and its Applications

      Volume: 29 Pages: 409-425

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340011
  • [Journal Article] Horo-tight spheres in hyprbolic space2011

    • Author(s)
      Marcelo Buosi, Shyuichi Izumiya, Maria Aparecida, Soares Ruas
    • Journal Title

      Geometriae Dedicata

      Volume: 154 Pages: 9-26

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340011
  • [Journal Article] Lightlike developables in Minkowski 3-space2010

    • Author(s)
      Sachiko Chino and Shyuichi Izumiya
    • Journal Title

      Lightlike developables in Minkowski Demonstratio Mathematica

      Volume: XLIII(2) Pages: 387-399

    • URL

      http://www.ams.org/distribution/mmj/vol9-2-2009/cont9-2-2009.html

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21654007
  • [Journal Article] Total absolute horospherical curvature of submanifolds in hyperbolic space2010

    • Author(s)
      Marcelo Buosi, Shyuichi Izumiya and Maria Aparecida Soares Ruas
    • Journal Title

      Advanes in Geometry

      Volume: 10(4) Pages: 603-620

    • DOI

      10.1515/advgeom.2010.029

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21654007
  • [Journal Article] Folding maps on spacelike and timelike surfaces, duality2010

    • Author(s)
      Shyuichi Izumiya
    • Journal Title

      Osaka Journal of Mathematics

      Volume: 47 Pages: 829-862

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21654007
  • [Journal Article] Folding maps on spacelike and timelike surfaces and duality2010

    • Author(s)
      S. Izumiya, M. Takahashi and F. Tari
    • Journal Title

      Osaka Journal of Mathematics

      Volume: 47 Pages: 839-862

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21654007
  • [Journal Article] Global properties of codimension two spacelike submanifods in Minkowski space2010

    • Author(s)
      Shyuichi Izumiya
    • Journal Title

      Advances in Geometry

      Volume: 10 Pages: 51-75

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340011
  • [Journal Article] Juan Jose Nuno Ballesteros and Maria del Carmen Romero Fuster, Global properties of codimension two spacelike submanifods in Minkowski space2010

    • Author(s)
      Shyuichi Izumiya
    • Journal Title

      Advances in Geometry

      Volume: 10 Pages: 51-75

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21654007
  • [Journal Article] Self-adjoint operators on surfaces with singular metrics2010

    • Author(s)
      S. Izumiya and F. Tari
    • Journal Title

      Journal of Dynamical and Control Systems

      Volume: 16(3) Pages: 329-353

    • DOI

      10.1007/s10883-010-9096-6

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21654007
  • [Journal Article] Singularities of Anti de Sitter torus Gauss maps2010

    • Author(s)
      Liang Chen and Shyuichi Izumiya
    • Journal Title

      Bulletin of Brazilian Mathematical Society

      Volume: 41(1) Pages: 37-61

    • URL

      http://www.springerlink.com/content/e617n7x3k947w175/

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21654007
  • [Journal Article] Horospherical flat surfaces in Hyperbolic 3-space2010

    • Author(s)
      S. Izumiya, K. Saji and M. Takahashi
    • Journal Title

      J. Math. Soc. Japan

      Volume: 62(3) Issue: 3 Pages: 789-849

    • DOI

      10.2969/jmsj/06230789

    • NAID

      10027870826

    • ISSN
      0025-5645, 1881-1167, 1881-2333
    • Language
      English
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21654007
  • [Journal Article] Total absolute horospherical curvature of submanifolds in hyperbolic space2010

    • Author(s)
      Shyuichi Izumiya
    • Journal Title

      Advanes in Geometry

      Volume: 10 Pages: 602-620

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21654007
  • [Journal Article] Singularities of Anti de Sitter torus Gauss maps2010

    • Author(s)
      L.Chen, S.Izumiya
    • Journal Title

      Bulletin of the Brazilian Mathematical Society 41

      Pages: 37-61

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340012
  • [Journal Article] Projections of surfaces in the hyperbolic space along horocycles2010

    • Author(s)
      Shyuichi Izumiya and Farid Tari
    • Journal Title

      Proceedings of the Royal Society of Edinburgh

      Volume: 140A Pages: 399-418

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21654007
  • [Journal Article] The mandala of Legendrian dualities for pseudo-spheres in Lorentz-Min kowski space, "flat" spacelike surfaces2010

    • Author(s)
      Shyuichi Izumiya
    • Journal Title

      Journal of Singularities

      Volume: 2 Pages: 92-127

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21654007
  • [Journal Article] Self-adjoint operators on surfaces with singular metrics2010

    • Author(s)
      Shyuichi Izumiya
    • Journal Title

      Journal of Dynamical and Control Systems

      Volume: 16 Pages: 329-353

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340011
  • [Journal Article] Self-adjoint operators on surfaces with singular metrics2010

    • Author(s)
      S.Izumiya, F.Tari
    • Journal Title

      Journal of Dynamical. Control Systems

      Volume: 16 Pages: 329-353

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340012
  • [Journal Article] Projections of surfaces in the hyperbolic space along horocycles2010

    • Author(s)
      S. Izumiya, F. Tari
    • Journal Title

      Proceedings of the Royal Society of Edinburgh 140A

      Pages: 399-418

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340013
  • [Journal Article] The mandala of Legendrian dualities for pseudo-spheres in Lorentz-Minkowski space and "flat" spacelike surfaces2010

    • Author(s)
      Shyuichi Izumiya and Kentaro Saji
    • Journal Title

      Journal of Singularities

      Volume: 2 Pages: 92-127

    • DOI

      10.5427/jsing.2010.2g

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21654007
  • [Journal Article] Horospherical flat surfaces in Hyperbolic 3-space2010

    • Author(s)
      S Izumiya, K Saji, M Takahashi
    • Journal Title

      Journal of Mathematical Society of Japan

      Volume: 62 Pages: 789-849

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340011
  • [Journal Article] Spacelike surfaces in Anti de Sitter Four-space from a contact viewpoint2009

    • Author(s)
      S.Izumiya
    • Journal Title

      Proceedings of the Steklov Institute of Mathematics 267

      Pages: 156-173

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21654007
  • [Journal Article] Legendrian dualities and spacelike hypersurfaces in the lightcone2009

    • Author(s)
      S. Izumiya
    • Journal Title

      Moscow Mathematical Journal Vol. 9

      Pages: 325-357

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340013
  • [Journal Article] Spacelike surfaces in Anti de Sitter Four-Space from a Contact Viewpoint2009

    • Author(s)
      Shyuichi Izumiya, Donghe Pei and Maria del Carmen Romero Fuster
    • Journal Title

      Proceedings of the Steklov Institute of Mathematics

      Volume: 267 Pages: 156-173

    • DOI

      10.1134/s0081543809040130

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21654007
  • [Journal Article] Flat lightlike hypersurfaces in Lorentz-Minkowski 4-space2009

    • Author(s)
      S.Izumiya
    • Journal Title

      Journal of Geometry and Physics 59

      Pages: 1528-1546

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21654007
  • [Journal Article] A mandala of Legedrian dualities for pseudo-spheres in semi-Euclidean space2009

    • Author(s)
      S.Izumiya
    • Journal Title

      Proceedings of the Japan Academy Ser.A 85

      Pages: 49-54

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340013
  • [Journal Article] Legendrian dualities and spacelike hypersurfaces in the lightcone2009

    • Author(s)
      Shyuichi Izumiya
    • Journal Title

      Moscow Mathematical Journal

      Volume: 9(2) Pages: 325-357

    • URL

      http://www.ams.org/distribution/mmj/vol9-2-2009/cont9-2-2009.html

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21654007
  • [Journal Article] Horospherical geometry in the hyperbolic space2009

    • Author(s)
      Shyuichi Izumiya
    • Journal Title

      Advanced Studies in Pure Mathematics

      Volume: 55 Pages: 31-49

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21654007
  • [Journal Article] Flat lightlike hypersurfaces in Lorentz-Minkowski 4-space2009

    • Author(s)
      Shyuichi Izumiya, Maria del Carmen Romero Fuster and Kentaro Saji
    • Journal Title

      Journal of Geometry and Physics

      Volume: 59 Pages: 1528-1546

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21654007
  • [Journal Article] Legendrian dualities and spacelike hypersurfaces in the lightcone2009

    • Author(s)
      S.Izumiya
    • Journal Title

      Moscow Mathematical Journal 9

      Pages: 325-357

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21654007
  • [Journal Article] Legendrian dualities and spacelike hypersurfaces in the lightcone2009

    • Author(s)
      S.Izumiya
    • Journal Title

      Moscow Mathematical Journal 9

      Pages: 325-357

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340013
  • [Journal Article] Flat lightlike hypersurfaces in Lorentz-Minkowski 4-space2009

    • Author(s)
      S.Izumiya
    • Journal Title

      Journal fo Geometry and Physics 59

      Pages: 1528-1546

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340013
  • [Journal Article] Generic singularities of implicit systems of first order differential equations on the plane2008

    • Author(s)
      S. Izumiya
    • Journal Title

      Japanese Journal of Mathematics 3

      Pages: 93-119

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18654007
  • [Journal Article] Projections of surfaces in the hyperbolic space to hyperhorospheres and hyperplanes2008

    • Author(s)
      S. Izumiya, F. Tari
    • Journal Title

      Revista Matematica Iberoamericana Vol. 24

      Pages: 895-920

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340013
  • [Journal Article] Lightlike surfaces of spacelike curves in de Sitter 3-space2008

    • Author(s)
      S. Izumiya
    • Journal Title

      Journal of Geometry 88

      Pages: 19-29

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18654007
  • [Journal Article] Projections of surfaces in the hyperbolic space to hyperhorospheres and hyperplanes2008

    • Author(s)
      S. Izumiya and F. Tari
    • Journal Title

      Revista Matematica Iberoamericana 24

      Pages: 895-920

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340013
  • [Journal Article] Caustics and wave front propagations : applicationsto differential geometry2008

    • Author(s)
      S. Izumiya, M. Takahashi
    • Journal Title

      Banach Center Publ. 82

      Pages: 125-142

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340014
  • [Journal Article] Generic singularities of implicit systems of first order differential equations on the plane2008

    • Author(s)
      S. Izumiya
    • Journal Title

      Japanese Journal of Mathematics 3

      Pages: 93-119

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340013
  • [Journal Article] Generic singularities of implicit systems of first order differential equations on the plane2008

    • Author(s)
      A. A. Davydov, G.Ishikawa, S. Izumiya, W. -Z. Sun
    • Journal Title

      Japanese Journal of Mathematics Vol. 3

      Pages: 93-119

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340013
  • [Journal Article] Litelike-surfaces of spacelike-curves in deSitter-space2008

    • Author(s)
      T. Fusho and S. Izumiya
    • Journal Title

      Journal of Geometry 88

      Pages: 19-29

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340012
  • [Journal Article] Lightlike surfaces of spacelike curves in de Sitter 3-space2008

    • Author(s)
      S. Izumiya
    • Journal Title

      Journal of Geometry 88

      Pages: 19-29

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340013
  • [Journal Article] Projections of surfaces in the hyperbolic space to hype rhorospheres and hyperplanes2008

    • Author(s)
      S. Izumiya
    • Journal Title

      Revista Matematica Iberoamericana 24

      Pages: 895-920

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340013
  • [Journal Article] Generic singularities of implicit systems of first order differential equations on the plane2008

    • Author(s)
      A. A. Davydov, G. Ishikawa, S. Izumiya, W. Z. Sun
    • Journal Title

      Japanese Journal of Mathematics 3

      Pages: 93-119

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340012
  • [Journal Article] Projections of surfaces in the hyperbolic space to hype rhorospheres and hyperplanes2008

    • Author(s)
      S. Izumiya
    • Journal Title

      Revista Matematica Iberoamericana 24

      Pages: 895-920

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18654007
  • [Journal Article] Lightlike surfaces of spacelike curves in de Sitter 3-space2008

    • Author(s)
      T. Fusho and S. Izumiya
    • Journal Title

      J. Geom. 88

      Pages: 19-29

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340014
  • [Journal Article] Projections of surfaces in the hyperbolic space to hyperhorospheres and hyperplanes2008

    • Author(s)
      S. Izumiya, F. Tari
    • Journal Title

      Revista Matematica Iberoamericana 24

      Pages: 895-920

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340012
  • [Journal Article] Generic singularities of implicit systems of first order differentialequations on the plane2008

    • Author(s)
      A. A. Davydov, G. Ishikawa, S. Izumiya and W.-Z. Sun
    • Journal Title

      Jpn. J. Math. 3

      Pages: 93-119

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340014
  • [Journal Article] Generic singularities of implicit systems of first order differential equations on the plane2008

    • Author(s)
      A. A. Davydov, G.Ishikawa, S. Izumiya and W.-Z. Sun
    • Journal Title

      Japanese Journal of Mathematics 3

      Pages: 93-119

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340013
  • [Journal Article] Generic singularities of implicit systems of first order differential equations on the plane2008

    • Author(s)
      A.A.Davydov, G. Ishikawa, S.Izumiya, W.Z. Sun
    • Journal Title

      Japanese Journal of Mathematics 3

      Pages: 93-119

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340012
  • [Journal Article] Spacelike parallels and Legendrian singularities2007

    • Author(s)
      Shuichi Izumiya, Masatomo Takahashi
    • Journal Title

      Journal of Geometry and Physics 57

      Pages: 3789-3803

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204007
  • [Journal Article] Spacelike parallels and Legendrian singularities2007

    • Author(s)
      Shuichi Izumiya and Masatomo Takahashi
    • Journal Title

      Journal of Geometry and Physics 57

      Pages: 3789-3803

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204007
  • [Journal Article] The lightlike flat geometry on spacelike submanifolds of codimension two in Minkowski space2007

    • Author(s)
      S. Izumiya
    • Journal Title

      Selecta Mathematica(NS) 13

      Pages: 23-55

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18654007
  • [Journal Article] Circular surfaceas2007

    • Author(s)
      S. Izumiya
    • Journal Title

      Advanced in Geometry 7

      Pages: 295-313

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340013
  • [Journal Article] Spacelike parallels and evolutes in Minkowski pseudo-spheres2007

    • Author(s)
      S. Izumiya
    • Journal Title

      Journal of Geometry and Physics 57

      Pages: 1569-1600

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340013
  • [Journal Article] Circular surfaceas2007

    • Author(s)
      S. Izumiya
    • Journal Title

      Advanced in Geometry 7

      Pages: 295-313

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18654007
  • [Journal Article] Spacelike parallels and evolutes in Minkowski pseudo-spheres2007

    • Author(s)
      S. Izumiya
    • Journal Title

      Journal of Geometry and Physics 57

      Pages: 1569-1600

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18654007
  • [Journal Article] "Spacelike parallels and Legendrian singularities" with referee2007

    • Author(s)
      Shuichi, Izumiya, Masatomo, Takahashi
    • Journal Title

      Journal of Geometry and Physics with referee Vol. 57

      Pages: 3789-3803

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17204007
  • [Journal Article] The lightlike flat geometry on spacelike submanifolds of codimension two in Minkowski space2007

    • Author(s)
      S. Izumiya, M. C. Romero Fuster
    • Journal Title

      Selecta Mathematica New Series 13

      Pages: 23-55

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340013
  • [Journal Article] Differential Geometry from the view point of Lagrangian or Legendrian singularity theory2007

    • Author(s)
      S. Izumiya
    • Journal Title

      Singurality Theory, World Sci. Publ.

      Pages: 241-275

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340012
  • [Journal Article] The lightlike flat geometry on spacelike submanifolds of codimension two in Minkowski space2007

    • Author(s)
      S. Izumiya
    • Journal Title

      Selecta Mathematica(NS) 13

      Pages: 23-55

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340013
  • [Journal Article] Global properties of spacelike curves in Minkowski 3-space2006

    • Author(s)
      Shyuichi Izumiya
    • Journal Title

      Journal of Knot theory and its Ramifications 15

      Pages: 869-881

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540054
  • [Journal Article] Singularities of lightlike hypersurfaces in Minkowski four-space2006

    • Author(s)
      Izumiya, Shyuichi
    • Journal Title

      Tohoku Math. J 58

      Pages: 71-88

    • Data Source
      KAKENHI-PROJECT-18654007
  • [Journal Article] The horospherical geometry of surfaces in Hyperbolic 4-space2006

    • Author(s)
      Shyuichi Izumiya
    • Journal Title

      Israel Journal of Mathematics 154

      Pages: 361-379

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540054
  • [Journal Article] Global properties of spacelike curves in Minkowski 3-space2006

    • Author(s)
      Izumiya, Shyuichi
    • Journal Title

      J. Knot theory and its Ramifications 15

      Pages: 869-881

    • Data Source
      KAKENHI-PROJECT-18340013
  • [Journal Article] Singularities of lightlike hypersurfaces in Minkowski four-space2006

    • Author(s)
      Izumiya, Shyuichi
    • Journal Title

      Tohoku Math. J. 58

      Pages: 71-88

    • Data Source
      KAKENHI-PROJECT-18340013
  • [Journal Article] The horospherical geometry of surfaces in hyperbolic 4-space2006

    • Author(s)
      Izumiya, Shyuichi
    • Journal Title

      Israel J. of Math. 154

      Pages: 361-379

    • Data Source
      KAKENHI-PROJECT-18340013
  • [Journal Article] The horospherical geometry of surfaces in hyperbolic 4-space2006

    • Author(s)
      Izumiya, Shyuichi
    • Journal Title

      Israel J. of Math. 154

      Pages: 361-379

    • Data Source
      KAKENHI-PROJECT-18654007
  • [Journal Article] The horospherical geometry of surfaces in hyperbolic 4-space2006

    • Author(s)
      Syuichi Izumiya, et al.
    • Journal Title

      Israel Journal of Mathematics 154

      Pages: 361-379

    • Data Source
      KAKENHI-PROJECT-18340014
  • [Journal Article] Global properties of spacelike curves in Minkowski 3-space2006

    • Author(s)
      Izumiya, Shyuichi
    • Journal Title

      J. Knot theory and its Ramifications 15

      Pages: 869-881

    • Data Source
      KAKENHI-PROJECT-18654007
  • [Journal Article] The horospherical geometry of spacelike surfaces in Hyperbolic 4-space2006

    • Author(s)
      Shyuichi Izumiya
    • Journal Title

      Israel Journal of Mathematics 154

      Pages: 361-379

    • Data Source
      KAKENHI-PROJECT-16540054
  • [Journal Article] The horospherical geometry of submanifolds in hyperbolic space2005

    • Author(s)
      S.Izumiya
    • Journal Title

      Journal of London Mathematical Society 71

      Pages: 779-800

    • Data Source
      KAKENHI-PROJECT-14340020
  • [Journal Article] The horospherical geometry of submanifolds in Hyperbolic space2005

    • Author(s)
      Izumiya, Shuichi et al.
    • Journal Title

      Journal of London Mathematical Society 71

      Pages: 779-800

    • Data Source
      KAKENHI-PROJECT-17204007
  • [Journal Article] The horospsherical geometry of submanfiolds in hyperbolic space2005

    • Author(s)
      S.Izumiya
    • Journal Title

      J.of London Math.Soc. 71

      Pages: 779-800

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15204002
  • [Journal Article] The horospherical geometry of submanifolds in hyperbolic space2005

    • Author(s)
      S.Izumiya et al.
    • Journal Title

      J.London Mathematical Society(2) 71

      Pages: 779-800

    • Data Source
      KAKENHI-PROJECT-14340019
  • [Journal Article] The horospherical geometry of submanifolds in Hyperbolic space2005

    • Author(s)
      Shyuichi IZUMIYA
    • Journal Title

      Journal of London Mathematical Society 71

      Pages: 779-800

    • Data Source
      KAKENHI-PROJECT-15204002
  • [Journal Article] The horospherical geometry of submanifolds in Hyperbolic space2005

    • Author(s)
      Shyuichi Izumiya
    • Journal Title

      Journal of London Mathematical Society 71

      Pages: 779-800

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540054
  • [Journal Article] The horospherical geometry of Submanifolds in Hyperbolic space2005

    • Author(s)
      Shyuichi IZUMIYA
    • Journal Title

      Journal of London Mathematical Society 71

      Pages: 779-800

    • Data Source
      KAKENHI-PROJECT-15654008
  • [Journal Article] The horospherical geometry of submanifolds in hyperbolic space2005

    • Author(s)
      S.IZUMIYA
    • Journal Title

      Journal of London Mathematical Society 71

      Pages: 779-800

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15204002
  • [Journal Article] Horospherical surfaces of curves in Hyperbolic space2004

    • Author(s)
      S.Izumiya
    • Journal Title

      Publ.Math.(Debrecen) 64

      Pages: 1-13

    • Data Source
      KAKENHI-PROJECT-15654008
  • [Journal Article] Singularities of evolutes of hypersurfaces in hyperbolic space2004

    • Author(s)
      S.Izumiya et al.
    • Journal Title

      Proc.Edinburgh Mathematical Society 47

      Pages: 131-153

    • NAID

      120000960668

    • Data Source
      KAKENHI-PROJECT-14340019
  • [Journal Article] Curves and surfaces in hyperbolic space2004

    • Author(s)
      S.Izumiya
    • Journal Title

      Banach Center Publication 65

      Pages: 107-123

    • Data Source
      KAKENHI-PROJECT-14340020
  • [Journal Article] Singularities of evolutes of hypersurfaces in hyperbolic space2004

    • Author(s)
      S.Izumiya
    • Journal Title

      Proceedings of the Edinburgh Mathematical Society 47

      Pages: 131-153

    • NAID

      120000960668

    • Data Source
      KAKENHI-PROJECT-15654008
  • [Journal Article] Umbilicity of spacelike surfaces in Minkowski space2004

    • Author(s)
      Shyuichi Izumiya
    • Journal Title

      Proceedings of the Royal Society of Edinburgh 134A

      Pages: 375-387

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540054
  • [Journal Article] Singularities of evolutes of hypersurfaces in hyperbolic space2004

    • Author(s)
      S.Izumiya
    • Journal Title

      Proceedings of the Edinburgh Mathematical Society 47

      Pages: 131-153

    • NAID

      120000960668

    • Data Source
      KAKENHI-PROJECT-15204002
  • [Journal Article] Singularities of Light cone Gauss maps of space like surfaces in Minkowski space2004

    • Author(s)
      Shyuichi Izumiya
    • Journal Title

      The Asian Journal of Math. 8

      Pages: 511-530

    • Data Source
      KAKENHI-PROJECT-16540054
  • [Journal Article] On the horospherical ridges of submanifolds of codimension 2 in Hyperbolic n-space2004

    • Author(s)
      S.Izumiya
    • Journal Title

      Bull.Braz.Math.Soc. 35・2

      Pages: 177-198

    • Data Source
      KAKENHI-PROJECT-15654008
  • [Journal Article] Evolutes of hyperbolic plane curves2004

    • Author(s)
      S.Izumiya
    • Journal Title

      Acta.Math.Sin. 20-3

      Pages: 543-550

    • Data Source
      KAKENHI-PROJECT-14340020
  • [Journal Article] Evolutes of hyperbolic plane curves2004

    • Author(s)
      S.Izumiya
    • Journal Title

      Aeta Mathmatica Sinica 20

      Pages: 543-550

    • Data Source
      KAKENHI-PROJECT-15654008
  • [Journal Article] The lightcone Gauss maps of space like surfaces in Minkowskispace curves in Minkowski 4-space2004

    • Author(s)
      Shyuichi Izumiya
    • Journal Title

      The Asian Journal of Math. 8

      Pages: 511-530

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540054
  • [Journal Article] Curves and surfaces in hyperbolic space2004

    • Author(s)
      S.Izumiya et al.
    • Journal Title

      Banach Center Publications 65

      Pages: 107-123

    • Data Source
      KAKENHI-PROJECT-14340019
  • [Journal Article] The lightlike flat geometry on spacelike submanifolds of codimension two in Minkowski space

    • Author(s)
      Shyuichi Izumiya
    • Journal Title

      Selecta Mathematica (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540054
  • [Journal Article] Global properties of spacelike curves in Minkowski 3-space

    • Author(s)
      Shyuichi Izumiya
    • Journal Title

      Journal of Knot theory and its Ramifications (to appear)

    • Data Source
      KAKENHI-PROJECT-16540054
  • [Journal Article] The lightlike flat geometry on spacelike submanifolds of codimension two in Minkowski space

    • Author(s)
      Shyuichi Izumiya
    • Journal Title

      Selecta Mathematica (to appear)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540054
  • [Journal Article] The lightlike flat geometry on spacelike submanifolds of codimension two in Minkowski space

    • Author(s)
      Shyuichi Izumiya
    • Journal Title

      Selecta Mathematica (to appear)

    • Data Source
      KAKENHI-PROJECT-16540054
  • [Presentation] G-structures and singularities of map-germs2017

    • Author(s)
      Shyuichi Izumiya
    • Organizer
      Singularities in Generic Geometry and its applications:Valencia V
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287009
  • [Presentation] 3次元ユークリッド空間内の垂足曲面(曲線)2016

    • Author(s)
      泉屋 周一
    • Organizer
      特異点の幾何学的側面
    • Place of Presentation
      神戸大学(兵庫県神戸市)
    • Invited
    • Data Source
      KAKENHI-PROJECT-26287009
  • [Presentation] Geometric equivalence among smooth section-germs of vector bundles with respect to structure groups I and II2016

    • Author(s)
      泉屋 周一
    • Organizer
      Geometry of Moduli Space of Low Dimensional Manifolds
    • Place of Presentation
      京都大学・数理解析研究所(京都府京都市)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287009
  • [Presentation] コーステイックスと関数芽のA-同値2016

    • Author(s)
      泉屋 周一
    • Organizer
      「トポロジー・特異点論」とその応用
    • Place of Presentation
      青山学院大学(神奈川県相模原市)
    • Invited
    • Data Source
      KAKENHI-PROJECT-26287009
  • [Presentation] ベクトル束の切断芽の間の幾何学的同値関係2016

    • Author(s)
      泉屋 周一
    • Organizer
      可微分写像の特異点論とその応用
    • Place of Presentation
      京都大学・数理解析研究所(京都府京都市)
    • Invited
    • Data Source
      KAKENHI-PROJECT-26287009
  • [Presentation] Caustics of world sheets in Loretnz-Minkowski 3-space2015

    • Author(s)
      Shyuichi Izumiya
    • Organizer
      Real Singularities and Applications
    • Place of Presentation
      CIRM-Luminy (France)
    • Year and Date
      2015-02-17
    • Invited
    • Data Source
      KAKENHI-PROJECT-26287009
  • [Presentation] Darboux vector fields along curves on surfaces2015

    • Author(s)
      Shyuichi Izumiya
    • Organizer
      Geometric Singularity Theory, Polish-Japanese Singularity Theory Working days
    • Place of Presentation
      Warsaw (Poland)
    • Year and Date
      2015-09-07
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287009
  • [Presentation] Caustics of world hyper sheets in Loretnz-Minkowski space2014

    • Author(s)
      Shyuichi Izumiya
    • Organizer
      International Conference on Geometry and its Applications
    • Place of Presentation
      Jadavpur University (INDIA)
    • Year and Date
      2014-10-16
    • Invited
    • Data Source
      KAKENHI-PROJECT-24654008
  • [Presentation] The theory of wave front propagations and its applications (overview)2014

    • Author(s)
      Shyuichi Izumiya
    • Organizer
      13th International Workshop on Real and Complex Singulariteis
    • Place of Presentation
      Sao Paulo University (Brazil)
    • Year and Date
      2014-07-31
    • Invited
    • Data Source
      KAKENHI-PROJECT-24654008
  • [Presentation] Caustics of world sheets in anti-de Sitter space2013

    • Author(s)
      Shyuichi Izumiya
    • Organizer
      Singularities in geometry and appliccationsIII
    • Place of Presentation
      Edinburgh (Scotland)
    • Year and Date
      2013-09-02
    • Data Source
      KAKENHI-PROJECT-22340011
  • [Presentation] ローレンツ・ミンコフスキー空間内の空間的部分多様体の光的幾何学2012

    • Author(s)
      泉屋周一
    • Organizer
      特異点論と幾何構造
    • Place of Presentation
      長野市
    • Year and Date
      2012-05-30
    • Data Source
      KAKENHI-PROJECT-22340011
  • [Presentation] Total lightcone curvatures of spacelike submanifolds in Lorentz-Minkowski space2012

    • Author(s)
      Shyuichi Izumiya
    • Organizer
      The International Conference of Differential Geometry and Dynamical Systems Balkan Society of Geometers
    • Place of Presentation
      Mangalia (Rumania)
    • Year and Date
      2012-08-29
    • Data Source
      KAKENHI-PROJECT-22340011
  • [Presentation] The lightlike geometry of spacelike submanifolds in Lorentz-Minkowslki space2012

    • Author(s)
      Shyuichi Izumiya
    • Organizer
      Bruce 60 & Wall 75, Workshop in Singularity Theory, its Applications and Future Prospects
    • Place of Presentation
      Liverpool(UK)
    • Year and Date
      2012-06-28
    • Data Source
      KAKENHI-PROJECT-22340011
  • [Presentation] ミンコフスキー空間内の限界捕捉面2011

    • Author(s)
      泉屋周一
    • Organizer
      特異点論とその応用
    • Place of Presentation
      大分工業高専(大分市)(招待講演)
    • Year and Date
      2011-06-02
    • Data Source
      KAKENHI-PROJECT-21654007
  • [Presentation] ミンコフスキー空間内の限界捕捉面2011

    • Author(s)
      泉屋周一
    • Organizer
      特異点論とその応用
    • Place of Presentation
      大分高専(大分市)(招待講演)
    • Year and Date
      2011-06-02
    • Data Source
      KAKENHI-PROJECT-22340011
  • [Presentation] The lightlike geometry of spacelike submanifolds in Lorentz-Minkowski space2011

    • Author(s)
      Shyuichi Izumiya
    • Organizer
      Differential Geometry and Tanaka Theory
    • Place of Presentation
      京都大学京都大学
    • Year and Date
      2011-01-26
    • Data Source
      KAKENHI-PROJECT-21654007
  • [Presentation] ミンコフスキー時空内の限界捕捉面、特異点論とその応用2011

    • Author(s)
      泉屋周一
    • Place of Presentation
      大分高専
    • Year and Date
      2011-06-02
    • Data Source
      KAKENHI-PROJECT-21654007
  • [Presentation] Singularities of Gauss maps ; revisited2010

    • Author(s)
      Shyuichi Izumiya
    • Organizer
      11th International Workshop on Real and Complex Singularities
    • Place of Presentation
      Sao Paulo大学(Brazil、Sao Carlos) 招待講演
    • Year and Date
      2010-07-30
    • Data Source
      KAKENHI-PROJECT-22340011
  • [Presentation] Singularities of Gauss maps2010

    • Author(s)
      Shyuichi Izumiya
    • Organizer
      11th International Workshop on Real and Complex Singularities
    • Place of Presentation
      Sao Paulo University
    • Year and Date
      2010-07-03
    • Data Source
      KAKENHI-PROJECT-21654007
  • [Presentation] Singularities of Gauss maps; revisited2010

    • Author(s)
      Shyuichi Izumiya
    • Organizer
      11th International Workshop on Real and Complex Singularities
    • Place of Presentation
      Sao Paulo大学(Brazi、Sao Carlos) 招待講演
    • Year and Date
      2010-07-30
    • Data Source
      KAKENHI-PROJECT-21654007
  • [Presentation] 応用特異点論の現状と展望2009

    • Author(s)
      泉屋周一
    • Organizer
      応用特異点論の現状と展望
    • Place of Presentation
      北海道大学
    • Year and Date
      2009-03-16
    • Data Source
      KAKENHI-PROJECT-18340013
  • [Presentation] Singularities of caustics emitted by timelike hypersurfaces in Anti de Sitter space2009

    • Author(s)
      S.Izumiya
    • Organizer
      JSPS forum Singularities and Applications
    • Place of Presentation
      Strasbourg大学,フランス
    • Year and Date
      2009-08-24
    • Data Source
      KAKENHI-PROJECT-18340013
  • [Presentation] Differential Geometry from the view point of Singularity Theory2009

    • Author(s)
      S. Izumiya and M. Ruas
    • Organizer
      1st Workshop on Singularities in Generic Geometry and Applications
    • Place of Presentation
      Valencia University
    • Data Source
      KAKENHI-PROJECT-21654007
  • [Presentation] Singularities of caustics emitted by timelike hypersurfaces in Anti de Sitter space2009

    • Author(s)
      Shyuichi Izumiya
    • Organizer
      JSPS forum Singularities and Applications, Strasbourg
    • Place of Presentation
      Strasbourg University
    • Year and Date
      2009-08-25
    • Data Source
      KAKENHI-PROJECT-21654007
  • [Presentation] Singularities of caustics emitted by timelike hypersurfaces in Anti de Sitter space2009

    • Author(s)
      S. Izumiya
    • Organizer
      JSPS forum Singularities and Applications
    • Place of Presentation
      Strasbourg, France
    • Year and Date
      2009-08-24
    • Data Source
      KAKENHI-PROJECT-18340013
  • [Presentation] Caustic emanating from hyperbranes in Anti de Sitter space2009

    • Author(s)
      泉屋周一
    • Organizer
      CNRS-JSPS日仏数学シンポジウム
    • Place of Presentation
      Strasburg大学、仏国
    • Year and Date
      2009-08-24
    • Data Source
      KAKENHI-PROJECT-21654007
  • [Presentation] Spacelike surfaces in Anti de Sitter 4-space2008

    • Author(s)
      S. Izumiya
    • Organizer
      Real and Complex singularities ICMC-USP
    • Place of Presentation
      Sao Carlos, Brazil
    • Year and Date
      2008-07-27
    • Data Source
      KAKENHI-PROJECT-18340013
  • [Presentation] Spacelike surfaces in Anti de Sitter 4-space2008

    • Author(s)
      S. Izumiya
    • Organizer
      Real and Complex singularities
    • Place of Presentation
      ICMC-USP, Sao Carlos, Brazil
    • Year and Date
      2008-07-27
    • Data Source
      KAKENHI-PROJECT-18340013
  • [Presentation] Spacelike surfaces in Anti de Sitter 4-space2008

    • Author(s)
      S. Izumiya
    • Organizer
      Real and Complex singularities
    • Place of Presentation
      ICMC-USP, Sao Carlos, Brazil
    • Year and Date
      2008-07-27
    • Data Source
      KAKENHI-PROJECT-18654007
  • [Presentation] Horospherical geometry in Hyperbolic space International confe rence Analysis and Singularities2007

    • Author(s)
      S. Izumiya
    • Organizer
      Arnol'd70
    • Place of Presentation
      Steklov Institute(MOSCOW)
    • Year and Date
      2007-08-24
    • Data Source
      KAKENHI-PROJECT-18340013
  • [Presentation] Horospherical geometry in Hyperbolic space International confer ence Analysis and Singularities (Arnol'd 70)2007

    • Author(s)
      S. Izumiya
    • Organizer
      Steklov Institute
    • Place of Presentation
      MOSCOW
    • Year and Date
      2007-08-24
    • Data Source
      KAKENHI-PROJECT-18340013
  • [Presentation] Horospherical geometry in Hyperbolic space2007

    • Author(s)
      S. Izumiya
    • Organizer
      International conference Analysis and Singularities (Arnol'd 70)
    • Place of Presentation
      Steklov Institute(MOSCOW)
    • Year and Date
      2007-08-24
    • Data Source
      KAKENHI-PROJECT-18654007
  • [Presentation] Horospherical geometry in Hyperbolic space2007

    • Author(s)
      S. Izumiya
    • Organizer
      International conference Analysis and Singularities(Arnol'd 70)
    • Place of Presentation
      Steklov Institute(MOSCOW)
    • Year and Date
      2007-08-24
    • Data Source
      KAKENHI-PROJECT-18340013
  • [Presentation] Total lightcone curvatures of spacelike submanifolds in Lorentz-Minkowski space

    • Author(s)
      泉屋周一
    • Organizer
      The International Conference of Differential Geometry and Dynamical Systems
    • Place of Presentation
      "Callatis" High School, Mangalia (Rumania)
    • Invited
    • Data Source
      KAKENHI-PROJECT-24654008
  • [Presentation] Caustics of world sheets in anti-de Sitter space

    • Author(s)
      泉屋周一
    • Organizer
      幾何学における特異点とその応用III
    • Place of Presentation
      International center for Mathematics (Edinburgh, Scotland)
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340011
  • [Presentation] Flat approximations of surfaces along curves

    • Author(s)
      泉屋周一
    • Organizer
      幾何学的特異点論-ポーランド・日本特異点論デ
    • Place of Presentation
      Banach center (Poland, Warsasw)
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340011
  • [Presentation] Geometry of world sheets in Minkowski space-time

    • Author(s)
      泉屋周一
    • Organizer
      数理科学研究所研究集会
    • Place of Presentation
      京都大学数理科学研究所(京都市)
    • Invited
    • Data Source
      KAKENHI-PROJECT-24654008
  • [Presentation] Geometry of world sheets in Minkowski space-time

    • Author(s)
      泉屋周一
    • Organizer
      数理解析研究所研究集会
    • Place of Presentation
      京都大学数理解析研究所(京都市)
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340011
  • [Presentation] Caustics of world sheets in anti-de Sitter space

    • Author(s)
      泉屋周一
    • Organizer
      Singularities in geometry and appliccations III
    • Place of Presentation
      International Center for Mathematics (Edinburgh, Scotland)
    • Invited
    • Data Source
      KAKENHI-PROJECT-24654008
  • [Presentation] Total lightcone curvatures of spacelike submanifolds in Lorentz-Minkowski space

    • Author(s)
      泉屋 周一
    • Organizer
      The INternational Conference of Differentail Geometry and Dynamical system
    • Place of Presentation
      "Callatis" High School Mangalia (Rumania)
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340011
  • [Presentation] The lightlike geometry of spacelike submanifolds in Lorentz-Minkowski space

    • Author(s)
      泉屋 周一
    • Organizer
      Bruce 60 & Wall 75, Workshop in Singularity Theory, its Applications and Future Prospects
    • Place of Presentation
      Liverpool University (UK)
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340011
  • [Presentation] Flat approximations of surfaces along curves

    • Author(s)
      泉屋周一
    • Organizer
      Geometric Singularity Theory, Polish-Japanese Singuarity Theory Working Days
    • Place of Presentation
      Banach Center (Warsaw, Poland)
    • Invited
    • Data Source
      KAKENHI-PROJECT-24654008
  • [Presentation] The theory of wave front propagations and its applications (overview)

    • Author(s)
      Shyuichi Izumiya
    • Organizer
      School on Singularity Theory, USP (Sao Carlos, Brazil)
    • Place of Presentation
      Sao Paulo University ( Brazil)
    • Year and Date
      2014-08-04 – 2014-08-08
    • Invited
    • Data Source
      KAKENHI-PROJECT-26287009
  • [Presentation] The lightlike geometry of spacelike submanifolds in Lorentz-Minkowslki space

    • Author(s)
      泉屋周一
    • Organizer
      Bruce 60 & Wall 75, Workshop in Singularity Theory, its Applications and Future Prospects
    • Place of Presentation
      Liverpool University (UK)
    • Invited
    • Data Source
      KAKENHI-PROJECT-24654008
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  • 11.  UMEHARA Masaaki (90193945)
    # of Collaborated Projects: 5 results
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  • 12.  SHIMADA Ichiro (10235616)
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  • 14.  OHMOTO Toru (20264400)
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  • 22.  MATSUMOTO Shigenori (80060143)
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  • 29.  KOJIMA Sadayoshi (90117705)
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  • 30.  TERAO Hiroaki (90119058)
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  • 31.  SUZUKI Haruo (80000735)
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  • 32.  IGARASHI Masayuki (60256675)
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  • 36.  TOSE Nobuyuki (00183492)
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  • 39.  OHSHIKA Ken'ichi (70183225)
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  • 40.  KATO Hisao (70152733)
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  • 41.  MORITA Shigeyuki (70011674)
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  • 43.  SASAKI Takeshi (00022682)
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  • 44.  OHNITA Yoshihiro (90183764)
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  • 45.  SAJI Kentaro (70451432)
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  • 47.  MABUCHI Toshiki (80116102)
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  • 48.  TAKAHASHI Masatomo (80431302)
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  • 53.  佐野 貴志 (60326543)
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  • 54.  三松 佳彦 (70190725)
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  • 55.  森吉 仁志 (00239708)
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  • 56.  寺本 央 (90463728)
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  • 72.  KAWAKAMI Yu (60532356)
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  • 122.  石川 卓 (70845742)
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  • 123.  Ogawa Noboru
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  • 124.  鈴木 徳行
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  • 125.  西 弘嗣
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  • 126.  長谷川 四郎
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  • 128.  入野 智久
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  • 129.  原田 尚美
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  • 131.  江森 良太郎
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  • 132.  菅沼 香織
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  • 133.  佐藤 瑛子
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  • 134.  KONDO Kenji
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  • 135.  戸田 幹人
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    # of Collaborated Products: 1 results
  • 136.  小松崎 民樹
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 1 results

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