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Minakawa Hiroyuki  皆川 宏之

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… Alternative Names

MINAKAWA Hiroyuki  皆川 宏之

皆川 広之  ミナカワ ヒロユキ

皆川 宏之  ミナガワ ヒロユキ

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Researcher Number 30241300
Other IDs
Affiliation (Current) 2025: 山形大学, 地域教育文化学部, 教授
Affiliation (based on the past Project Information) *help 2016: 山形大学, 地域教育文化学部, 教授
2012: 山形大学, 地域教育文化学部, 准教授
2004 – 2006: 山形大学, 教育学部, 助教授
2001: 山形大学, 教育学部, 助教授
1999: Hirosaki University, Faculty of Education, Assistant Professor, 教育学部, 助教授 … More
1998: Hokkaido University, Graduate School of Sciences, Assistant, 大学院・理学研究科, 助手
1998: 北海道大学, 大学院理学研究科, 助手
1998: 北海道大学大学院, 理学研究科, 助手
1997: Hokkaido University Graduate School of Science. Instructor, 大学院・理学研究科, 講師
1997: 北海道大学, 理学部, 助手
1996: Hokkaido University, Graduate School of Science, Assistant, 大学院・理学研究科, 助手
1993 – 1995: 北海道大学, 理学部, 助手 Less
Review Section/Research Field
Principal Investigator
Geometry
Except Principal Investigator
Geometry / Geometry
Keywords
Principal Investigator
手術理論 / 総微分 / PL共役 / PL同相群 / ミルナ-=ウッドの不等式 / エキゾチック=サークル / ザイフェルト束 / 横断的PL葉層 / 葉層S束 / 三角群 … More / オイラー数 / 結晶群 / PL表現 / 双曲構造 / Milnor-Woodの不等式 / フックス群 … More
Except Principal Investigator
葉層構造 / 微分同相群 / 葉層 / 多様体 / 力学系 / 接触構造 / foliation / 幾何学 / 無限群 / 写像類群 / 極小集合 / 特性類 / Integrable system / Web / 可積分系 / similarity pseudogroup / qualitative theory / 相似変換擬群 / 定性論 / 微分トポロジー / 分類空間 / 群論 / 微分幾何 / 位相幾何 / 野性的空間 / 空間形 / smooth vector field / equivariant diffeomorphism group / first homology / Teichmuller space / smooth orbifold / pseudo Anosov homeomorphism / Lipschitz homeomorphism group / diffeomorphism group / Lischitz同相写像 / 可微分G-多様体 / Lipschitz同相写像 / 可微分ベクトル場 / 同変微分同相群 / 1次元ホモロジー / タイヒミュラー空間 / 可微分軌道体 / 擬アノソフ同相写像 / Lipschitz同相群 / invariant sets / dynamics of group actions / characteristic classes / classifying spaces / diffeomorphism groups / geometric theory of groups / transformation grouns / infinite groups / 等長変換群 / 区分線形構造 / アノソフ流 / 離散群 / クライン群 / 横断構造 / 幾何的群論 / 曲面束 / 無限変換群 / 不変集合 / 群作用のダイナミクス / 群の幾何的理論 / 変換群 / mapping class group / Magnus expansion / hyperelliptic mapping class group / Bruschi-Calogero equation / surface symmetry / Morita-Mumford classes / moduli space / Riemann surface / 楕円函数 / ジョンソン準同型 / 森田・マニフォード類 / マグナス展開 / 超楕円的写像類群 / ブルスキ・カロジェロ方程式 / 曲面の対称性 / 森田・マンフォード類 / モジュライ空間 / リーマン面 / exceptional minimal set / Sacksteder's Theorem / 区分線形同相群 / ブラシュケ接続 / ウエッブ / 指数公式 / 非ユニモデュラーリー群 / ミルナー数 / 留数理論 / 例外的極小集合 / サックスティーダーの定理 / Semiclassical approximation / Geodesic flow / Liouville manifolds / Riemannian geometry / Symplectic geometry / Hamiltonian mechanics / Integrable geodesic flow / クウヴィル多様体 / 半古典近似 / 測地線 / リウヴィル多様体 / リーマン多様体 / シンプレクティック幾何学 / ハミルトン力学 / 可積分測地流 / transverse measure / holonomy group / Hamiltonian flow / symplectic diffeomorphism / rotation vector / rotation number / area preserving maps / foliations / イソトピー / エルゴード的測度 / 余次元1葉層 / 不動点指数 / 位相的エントロピー / 周期軌道 / シンプレクティック微分同相 / 面積保存同相写像 / 横断的測度 / ホロノミー群 / ハミルトン流れ / シンプレクティク微分同相 / 回転ベクトル / 回転数 / 面積保存写像 / Anosov / contact structure / boundary / Lipschitz / volume preserving / diffeomorphisms / 区分線形同相 / リプシッツ同相 / アノソフ / 境界 / リプシッツ / 保積変換 / 微分同相 / Higher Order ODE / First Order PDE / Non solvable Dynamics / Complex dynamics / Chern onnection / Foliation / 留数公式 / pseudo group / ルジャンドル / 一階微分方程式 / 高階偏微分方程式 / 高階拳微分方程式 / 一階偏微分方程式 / 非可解群作用 / 複素力学系 / CHERN接続 / WEB / Hilbert's 16th problem / Pseudo-line arrangement / Plane trigonometric curve / Open umbrella / Monge-Ampere equation / Tangent developable / Lagrange singularity / Legendre singularity / フロント写像 / 特異葉層 / symplectic幾何 / Web幾何 / 空間曲線 / 特異点論 / 射影幾何 / 接触幾何 / ヒルベルト化問題 / ヒルベルト16問題 / 擬直線配置 / 平面三角曲線 / 笠 / モンジュアンペ-ル方程式 / 可展開面 / ラグランジュ特異点 / ルジャンドル特異点 / PL homeomorphism group / residue / foliated bundle / wob / holomerphic foliation / 同相群 / 複素葉層 / 横断的幾何構造 / PL同相群 / 留数 / 葉層バンドル / 織構造 / 正則葉層 / 位相亜群 / 離散部分群 / トポロジー / homoclinic bifurcation / 2次元写像 / chaos / 非線形力学系 / 記号力学系 / horse shoe map / Henon map Less
  • Research Projects

    (15 results)
  • Research Products

    (5 results)
  • Co-Researchers

    (45 People)
  •  New developments in infinite groups and geometry

    • Principal Investigator
      Tsuboi Takashi
    • Project Period (FY)
      2012 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (S)
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
  •  Groups of diffeomorphisms of manifolds

    • Principal Investigator
      TSUBOI Takashi
    • Project Period (FY)
      2008 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
  •  Various aspects of infinite groups of transformations acting on manifolds

    • Principal Investigator
      TSUBOI Takashi
    • Project Period (FY)
      2004 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
  •  Research of automorphisms preserving geometric structure of manifolds

    • Principal Investigator
      ABE Kojun
    • Project Period (FY)
      2004 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Shinshu University
  •  A topological study of the moduli space of Riemann surface

    • Principal Investigator
      KAWAZUMI Nariya
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      The University of Tokyo
  •  Many-sided Research of Foliations

    • Principal Investigator
      NISHIMORI Toshiyuki
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  STUDY ON THE GROUPS OF DIFFEOMORPHISMS

    • Principal Investigator
      TSUBOI Takashi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      THE UNIVERSITY OF TOKYO
  •  Synthetic Study of Foliations and Dynamical Systems

    • Principal Investigator
      MATUMOTO Shigenori
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Nihon 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
  •  ザイフェルト葉層PL束の研究Principal Investigator

    • Principal Investigator
      皆川 宏之
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  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
  •  Foliation Theory

    • Principal Investigator
      NISHIMORI Toshiyuki
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  Contact geometric singularity theory of projective varieties.

    • Principal Investigator
      ISHIKAWA Go-o
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  フックス群と位相共役なPL同相群に関する研究Principal Investigator

    • Principal Investigator
      皆川 宏之
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  低次元非線形力学系の構造と分岐

    • Principal Investigator
      三波 篤郎
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University

All 2006 2004

All Journal Article

  • [Journal Article] Examples of pseudo-Anosov homeomorphisms with small dialatations2006

    • Author(s)
      Hiroyuki Minakawa
    • Journal Title

      J. Math. Sci. Univ. Tokyo 13

      Pages: 95-111

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16204004
  • [Journal Article] Algebraic property of dilatation constants of piecewise linear structures of Anosov foliations2004

    • Author(s)
      Minakawa, Hiroyuki
    • Journal Title

      J.Math.Sci.Univ.Tokyo 11

      Pages: 65-74

    • NAID

      110000071245

    • Data Source
      KAKENHI-PROJECT-16204004
  • [Journal Article] Algebraic property of dilatation constants of piecewise linear structures of Anosov foliations2004

    • Author(s)
      Hiroyuki Minakawa
    • Journal Title

      Jour.Math.Sci.Univ.Tokyo 11

      Pages: 65-74

    • NAID

      110000071245

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540058
  • [Journal Article] Algebraic property of dilatation constants of piecewise linear structures of Anosov foliations2004

    • Author(s)
      Minakawa, Hiroyuki
    • Journal Title

      J. Math. Sci. Univ. Tokyo 11

      Pages: 65-74

    • NAID

      110000071245

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16204004
  • [Journal Article] Algebraic property of dilatation constants of piecewise linear structures of Anosov foliations2004

    • Author(s)
      Hiroyuki Minakawa
    • Journal Title

      Jour. Math. Sci. Univ. Tokyo 11

      Pages: 65-74

    • NAID

      110000071245

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540058
  • 1.  KAWAZUMI Nariya (30214646)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 2.  TSUBOI Takashi (40114566)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 3.  NAKAYAMA Hiromichi (30227970)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 4.  OHSHIKA Kenichi (70183225)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 5.  NAKAI Isao (90207704)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 6.  MORITA Shigeyuki (70011674)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 7.  NISHIMORI Toshiyuki (50004487)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 8.  ASUKE Taro (30294515)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 9.  HAYASHI Shuhei (20247208)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 10.  FUJIWARA Koji (60229078)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 11.  MORIYOSHI Hitoshi (00239708)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 12.  SUWA Tatsuo (40109418)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 13.  ISHIKAWA Go-o (50176161)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 14.  MATUMOTO Shigenori (80060143)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 15.  KANAI Masahiko (70183035)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 16.  ASAOKA Masayuki (10314832)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 17.  NODA Takeo (90431618)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 18.  泉屋 周一 (80127422)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 19.  KOJIMA Sadayoshi (90117705)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 20.  三波 篤郎 (30154157)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  鈴木 治夫 (80000735)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  SATO Hajime (30011612)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  KAMISHIMA Yoshinobu (10125304)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  SHISHIKURA Mitsuhiro (70192606)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  水谷 忠良 (20080492)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  矢野 公一 (60114691)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  INABA Takashi (40125901)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  KIYOHARA Kazuyoshi (80153245)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  IGARASHI Masayuki (60256675)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  YAMAGUCHI Keizo (00113639)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  TAKAMURA Masashi (60206886)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  MORIYAMA Youichi (80210201)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  OHBA Kiyoshi (80242337)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 34.  MATSUMOTO Yukio (20011637)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 35.  AKITA Toshiyuki (30279252)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 36.  SHIBUKAWA Youichi (90241299)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 37.  廣瀬 進 (10264144)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 38.  笹原 泰 (80299370)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 39.  橋本 義武 (20271182)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 40.  ABE Kojun (30021231)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 41.  小林 俊行 (80201490)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 42.  大島 利雄 (50011721)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 43.  KODAMA Hiroki (40466826)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 44.  TAKAMURA Masashi (20598859)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 45.  MATSUDA Yoshifumi (60549294)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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