Yamaguchi Takao 山口孝男

… Alternative Names

YAMAGUCHI Takao 山口孝男

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Researcher Number	00182444
Other IDs
Affiliation (Current)	2025: 筑波大学, 数理物質系(名誉教授), 名誉教授
Affiliation (based on the past Project Information) *help	2020 – 2024: 筑波大学, 数理物質系(名誉教授), 名誉教授 2021: 京都大学, 理学研究科, 教授 2015 – 2019: 京都大学, 理学研究科, 教授 2014 – 2016: 京都大学, 理学(系)研究科(研究院), 教授 2013: 筑波大学, 数理物質科学研究科(系), 教授 … More 2011 – 2013: 筑波大学, 数理物質系, 教授 2012: 筑波大学, 大学院・数理物質科学研究科, 教授 2004 – 2010: University of Tsukuba, Graduate School of Pure and Applied Sciences, Professor, 大学院・数理物質科学研究科, 教授 2005 – 2006: 筑波大学, 大学院数理物質科学研究科, 教授 2002 – 2003: 筑波大学, 数学系, 教授 2000 – 2001: Kyushu-University, Faculty of Mathematics, Professor, 大学院・数理学研究院, 教授 1994 – 1999: 九州大学, 大学院・数理学研究科, 教授 1993: 九州大学, 理学部, 助教授 Less
Review Section/Research Field	Principal Investigator Geometry / Geometry / Basic Section 11020:Geometry-related Except Principal Investigator Geometry / Geometry / 解析学
Keywords	Principal Investigator アレクサンドロフ空間 / 崩壊 / 崩壊理論 / 収束理論 / スペクトル逆問題 / リッチ流 / CAT(1)空間 / collapsing / 境界つきリーマン多様体 / 特異空間 … More / 測度距離空間 / ソウル定理 / 4次元多様体 / 境界つき多様体 / 境界付きリーマン多様体 / 線織面 / CAT(1)-空間 / グロモフ・ハウスドルフ距離 / Alexandrov spaces / 単体的体積 / isometry group / 等長変換群 / 漸近的自己相似集合 / リプシッツ・ホモトピー収束 / スペクトル収束 / リプシッツ・ホモトピー / グロモフ・ハウスドルフ収束 / 特異点 / リーマン多様体 / 位相的特異点集合 / 局所CAT(1)空間 / CAT 空間 / CAT空間 / リッチ極限空間 / 有界コホモロジー / 負曲率リーマン多様体 / 境界付き多様体 / 境界特異点 / 特異曲面 / 自己相似集合 / 線識面 / energy form / graph manifold / 4-manifold / 3-manifold / Alexandrov spare / Gromov-Hausdorff / Riemannian manfolds / 端点 / エネルギー形式 / グラフ多様体 / 3次元多様体 / soul theorem / Gromov-Hausdorff distance / 4-manifolds / 曲率と位相 / 4次元リーマン多様体 / convergence theory / simplicial volume / singular set / Hausdorff convergence / Singular space / Gromov imariant / Alexandrov space / 凸超曲面 / 特長変換集合 / 特異点集合 / ハウスドルフ収束 / グロモフ不変量 / 勾配流 / スペクトル理論 / 相転移性質 / 重みつきリッチ曲率 / フィンスラー多様体 / 逆問題 / 等周定数 / 鈍角定数 / スペクトル / リプシッツ構造 / リーマン的曲率次元条件 / オブザーバブル分散 / 内半径崩壊 / 良い被覆 / 熱核 / プラス・ベルトラミ作用素 / 国際研究者交流 / リプシッツ可縮 / 幾何解析 / 変分収束理論 / リッチ曲率 / 本質的被覆 / 退化 / 軌道体 / リプシッツ幾何学 / 頂点 / プラトー問題 / 極小曲面 / ラプラシアン / 特異リッチ曲率 … More Except Principal Investigator アレクサンドロフ空間 / リーマン多様体 / 双曲幾何学 / 長さの空間 / 曲率 / Floer homology / モース理論 / 位相的場の理論 / シンプレクティック幾何学 / 幾何学的群論 / 3次元多様体 / モジュライ空間 / ハウスドルフ次元 / 測地線 / 外部自己同型 / 擬準同型 / 自由群の外部自己同型群 / 双曲幾何 / 群環 / リーマン幾何学 / 増大度 / collapsing / metric measure geometry / C-algebra / property (T) / リーマン幾何 / 距離幾何 / 作用素環論 / property T / 従順群 / 測度集中 / 離散群 / 作用素環 / 負曲率多様体 / フォンノイマン環 / C環 / 漸近次元 / 指数増大度 / 双曲群 / 自由群の自己同型群 / 射影複体 / カズダンの性質T / 擬ツリー / 写像類群 / Hamiltonian dynamical system / Topological field theory / quasi-regular curve / A infinity algebra / Mirror symmetry / Lagrangian sublmanifolds / symplectic topology / ホモトピー代数 / A無限代数 / Rigid幾何学 / 超ポテンシャル / A無限大代数 / Dブレイン / open string / 曲率と基本群 / シンプレクティック微分同相群 / ループ空間 / ハミルトン力学系 / 擬正則曲線 / A無限大構造 / ミラー対称性 / フレアーホモロジー / ラグランジュ部分多様体 / Convergence theorem / Laplacian / comparions geometry / Hausdorff distance / Alexandrov space / エントロピー / 大域リーマン幾何 / 収束定理 / ラプラシアン / 比較幾何学 / ハウスドルフ距離 / Total curvature / Osserman inequality / Gauss map / CMC-1 surface / Weierstrass representation / minimal surfaces / 可積分系 / 常微分方程式 / 定平均曲率曲面 / モノドロミー問題 / フラックス / 低平均曲率曲面 / キーワード8 / キーワード7 / 非コンパクト型対称空間 / 全曲率 / オッサーマンの不等式 / ガウス写像 / CMC-1曲面 / ワイエルストラス表現 / 極小曲面 / knot / Dehn filling / rigidity / geometric structure / deformation / 3-manifold / cone-manifold / hyperbolic geometry / 3次元トポロジー / 結び目 / Dehn手術 / 剛体性 / 幾何構造 / 変形 / 錐多様体 / Kleiniaangroup / Hamiltoniansystem / Hyperbolic Geometry / Symplectic Geometry / Geometric Grouptheory / String Theory / Gauge Theory / 量子群 / モ-ス理論 / クライン群 / フレア-ホモロジー / ハミルトン系 / 弦理論 / ゲージ理論 / リッチ流 / ヒルベルト計量 / コットン・テンソル / 共形構造 / CAT(0)幾何学 / ベイユ・ピーターソン幾何学 / 正スカラー曲率 / 射影幾何 / 共形幾何 / リーマン計量 / 射影幾何学 / ローレンツ幾何学 / コーシー問題 / 凸幾何学 / アインシュタイン方程式 / 崩壊理論 / リーマン面 / モジュライ / 調和写像 / CAT(0)空間 / タイヒミュラー空間 / 一般相対性理論 / アインシュタイン計量 / 双曲計量 / 微分幾何学 / 強擬凸CR多様体 / Seiberg-Witten理論 / 自己双対Weylテンソル / スカラー曲率 / ヤマベ不変量 / 無限遠境界 / 確率密度関数 / ポアソン核 / フィッシャー情報計量 / Busemannk関数 / 調和空間 / 確率測度空間 / Hadamard空間 / Damek-Ricci空間 / 熱核 / Poisson核 / Fisher情報計量 / 3次元Seiberg-Witten理論 / Ricciフロー / ポアンカレ予想 / 三角形の比較定理 / グロモフ-ハウスドルフ極限 / 曲率積分 / カレント球面定理 / 第2基本形式 / 等長埋め込み / ハウスドルフ収束 / 距離関数 / 部分多様体 / テーター凾数 / 古典有界領域 / 配置空間 / モノドロミイ群 / 交叉理論 / twisted (co) homology / 周期写像 / 超幾何凾数 / 距離 / 接続 Less

多様体の収束・崩壊の一般理論の構築に向けてPrincipal Investigator
- Principal Investigator
  
  山口孝男
- Project Period (FY)
  2021 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  University of Tsukuba
New development of the theory of convergence and collapsing of Riemannian manifoldsPrincipal Investigator
- Principal Investigator
  
  Yamaguchi Takao
- Project Period (FY)
  2018 – 2020
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  University of Tsukuba
  Kyoto University
Development of geometric analysis of singular collapsing phenomenonPrincipal Investigator
- Principal Investigator
  
  Yamaguchi Takao
- Project Period (FY)
  2015 – 2017
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
Progress in Geometric group theory
- Principal Investigator
  
  Fujiwara Koji
- Project Period (FY)
  2015 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (S)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
New development of Lipschitz structure/collapsing theory of Alexandrov spaces and inverse spectral problemPrincipal Investigator
- Principal Investigator
  
  Yamaguchi Takao
- Project Period (FY)
  2014 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
Geometry of moduli spaces for low dimensional manifolds
- Principal Investigator
  
  Yamada Sumio
- Project Period (FY)
  2012 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Gakushuin University
  Tohoku University
New development of inverse spectral problems for singular spacesPrincipal Investigator
- Principal Investigator
  
  YAMAGUCHI Takao
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
  University of Tsukuba
Study of convergence and collapsing phenomena by methods of geometric analysisPrincipal Investigator
- Principal Investigator
  
  YAMAGUCHI Takao
- Project Period (FY)
  2009 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  University of Tsukuba
リッチ流による収束理論の新展開Principal Investigator
- Principal Investigator
  
  山口孝男
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Geometry
- Research Institution
  University of Tsukuba
Differential geometric study of four dimensional diffeomorphism Poincare conjecture and variant Yamabe invariants
- Principal Investigator
  
  ITOH Mitsuhiro
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  University of Tsukuba
Convergence・collapsing theory of manifolds, Ricci flows and the geometry and analysis of singular spacesPrincipal Investigator
- Principal Investigator
  
  YAMAGUCHI Takao
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  University of Tsukuba
リッチ流による4次元多様体のリプシッツ幾何学の創始Principal Investigator
- Principal Investigator
  
  山口孝男
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Geometry
- Research Institution
  University of Tsukuba
Theory of collapsing Riemannian manifolds and geometry of Alexandrov spacesPrincipal Investigator
- Principal Investigator
  
  YAMAGUCHI Takao
- Project Period (FY)
  2001 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  University of Tsukuba
  Kyushu University
Moduli space, Homotopical algebra, Field theory
- Principal Investigator
  
  FUKAYA Kenji
- Project Period (FY)
  2001 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (S)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
極小曲面による3次元アレクサンドロフ空間の分類理論の創始Principal Investigator
- Principal Investigator
  
  山口孝男
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Geometry
- Research Institution
  Kyushu University
Geometry of space of Riemannian manifolds
- Principal Investigator
  
  OTSU Yukio
- Project Period (FY)
  1999 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kyushu University
  Osaka University
Deformation of cone-manifolds and topology of 3-mainfolds
- Principal Investigator
  
  KOJIMA Sadayoshi
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Institute of Technology
Collapsing Theory of 4-manifolds and the geometry of Alexandrov SpacesPrincipal Investigator
- Principal Investigator
  
  YAMAGUCHI Takao
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  Geometry
- Research Institution
  KYUSHU UNIVERSITY
Construction of submanifold with constant mean curvature, and its applications
- Principal Investigator
  
  YAMADA Kotaro
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  Geometry
- Research Institution
  Kyushu University
  Kumamoto University
特異リッチ曲率をもつ空間の研究Principal Investigator
- Principal Investigator
  
  山口孝男
- Project Period (FY)
  1997
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Geometry
- Research Institution
  Kyushu University
曲率が上に有界なアレキサンドロフ空間の位相構造
- Principal Investigator
  
  塩谷隆
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kyushu University
Geometry of spaces and groups with negative eurvaturePrincipal Investigator
- Principal Investigator
  
  YAMAGUCHI Takao
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  KYUSHU UNIVERSITY
アレクサンドロフ空間の幾何学
- Principal Investigator
  
  塩濱勝博
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Kyushu University
Interaction between Geometry and various mathematics
- Principal Investigator
  
  FUKAYA Kenji
- Project Period (FY)
  1995 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  KYOTO UNIVERSITY
リーマン幾何学の部分多様体論への応用
- Principal Investigator
  
  塩浜勝博
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for Co-operative Research (A)
- Research Field
  
  Geometry
- Research Institution
  Kyushu University
Convergence Theory for Alexandrov SpacesPrincipal Investigator
- Principal Investigator
  
  YAMAGUCHI Takao
- Project Period (FY)
  1994 – 1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  KYUSHU UNIVERSITY
アレクサンドロフ空間の幾何学
- Principal Investigator
  
  SHIOHAMA Katsuhiro
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for Co-operative Research (A)
- Research Field
  
  Geometry
- Research Institution
  Kyushu University
線型微分方程式の幾何学的研究
- Principal Investigator
  
  吉田正章
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyushu University

[Journal Article] Two-dimensional metric spaces with curvature bounded above I2023
- Author(s)
  Koichi Nagano, Takashi Shioya, and Takao Yamaguchi
- Journal Title
  
  Geometry and Topology, to appear
  
  Volume: -
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-23K20790
[Journal Article] Good covering of Alexandrov spaces2020
- Author(s)
  A. Mitsuishi and T. Yamaguchi
- Journal Title
  
  To appear in Trans. AMS
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15H05739
[Journal Article] Lipschitz homotopy convergence of Alexandrov spaces2020
- Author(s)
  A. Mitsuishi and T. Yamaguchi
- Journal Title
  
  to appear in J. Geom. Anal.
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15H05739
[Journal Article] Inradius collapsed manifolds2020
- Author(s)
  T. Yamaguchi and Z.Zhang
- Journal Title
  
  Geometry and Topology, accepted.
  
  Volume: -
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H05739
[Journal Article] Obtuse constants of Alexandrov spaces2020
- Author(s)
  A. Mitsuishi and T. Yamaguchi
- Journal Title
  
  to appear in J. Math. Soc. .Japan
  
  Volume: -
- NAID
  130007733314
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15H05739
[Journal Article] Obtuse constants of Alexandrov spaces2019
- Author(s)
  MITSUISHI Ayato、YAMAGUCHI Takao
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume: 71 Issue: 4 Pages: 1081-1103
- DOI
  10.2969/jmsj/78917891
- NAID
  130007733314
- ISSN
  0025-5645, 1881-1167, 1881-2333
- Language
  English
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17H01091, KAKENHI-PROJECT-15H05739, KAKENHI-PROJECT-18H01118
[Journal Article] Good coverings of Alexandrov spaces2019
- Author(s)
  Mitsuishi Ayato、Yamaguchi Takao
- Journal Title
  
  Transactions of the American Mathematical Society
  
  Volume: 372 Issue: 11 Pages: 8107-8130
- DOI
  10.1090/tran/7849
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17H01091, KAKENHI-PROJECT-15H05739, KAKENHI-PROJECT-18H01118
[Journal Article] Obtuse constants of Alexandrov spaces2019
- Author(s)
  A.Mitsuishi and T. Yamaguchi
- Journal Title
  
  J. Math. Soc. Japan
  
  Volume: 印刷中
- NAID
  130007733314
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18H01118
[Journal Article] Inradius collapsed manifolds.2019
- Author(s)
  Yamaguchi, Takao; Zhang, Zhilang
- Journal Title
  
  Geom. Topol.
  
  Volume: 23 Issue: 6 Pages: 2793-2860
- DOI
  10.2140/gt.2019.23.2793
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H05739, KAKENHI-PROJECT-18H01118
[Journal Article] Good coverings of Alexandrov spaces2019
- Author(s)
  A.Mitsuishi and T. Yamaguchi
- Journal Title
  
  Trans. AMS
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18H01118
[Journal Article] Lipschitz homotopy convergence of Alexandrov spaces2019
- Author(s)
  A.Mitsuishi and T. Yamaguchi
- Journal Title
  
  J. Geometric Analysis
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18H01118
[Journal Article] Lipschitz homotopy convergence of Alexandrov spaces.2019
- Author(s)
  Mitsuishi, Ayato; Yamaguchi, Takao
- Journal Title
  
  J. Geom. Anal.
  
  Volume: 29 Pages: 2217-2241
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15H05739
[Journal Article] Inradius collapsed manifolds2019
- Author(s)
  T. Yamaguchi and Z. Zhang
- Journal Title
  
  Geometry and Topology
  
  Volume: 印刷中
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01118
[Journal Article] Lipschitz Homotopy Convergence of Alexandrov Spaces,2018
- Author(s)
  Ayato Mitsuishi and Takao Yamaguchi,
- Journal Title
  
  Journal of Geometric Analysis
  
  Volume: 1 Issue: 3 Pages: 1-1
- DOI
  10.1007/s12220-018-0075-6
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17H01091, KAKENHI-PROJECT-15K17529, KAKENHI-PROJECT-18H01118
[Journal Article] Hausdorff dimension of asymptotic self-similar sets2017
- Author(s)
  Wu, Daruhan; Yamaguchi, Takao
- Journal Title
  
  J. Fractal Geom.
  
  Volume: ４ Issue: 4 Pages: 339-368
- DOI
  10.4171/jfg/54
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26287010, KAKENHI-PROJECT-15K13436
[Journal Article] Collaspsing three-dimensional closed Alexandrov spaces2015
- Author(s)
  A. Mitsuishi and T. Yamaguchi
- Journal Title
  
  Trans. AMS
  
  Volume: 367 Pages: 2339-2410
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K13436
[Journal Article] Collaspsing three-dimensional closed Alexandrov2015
- Author(s)
  A. Mitsuishi and T. Yamaguchi
- Journal Title
  
  Trans. AMS
  
  Volume: 367 Pages: 2339-2410
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26287010
[Journal Article] Collaspsing three-dimensional closed Alexandrov spaces.2015
- Author(s)
  A. Mitsuishi and T. Yamaguchi
- Journal Title
  
  Transactions of AMS.
  
  Volume: 367 Issue: 4 Pages: 2339-2410
- DOI
  10.1090/s0002-9947-2014-06091-1
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24340009, KAKENHI-PROJECT-24654010, KAKENHI-PROJECT-26287010, KAKENHI-PROJECT-15H05739
[Journal Article] Locally strongly Lipschitz contractibility of Alexandrov spaces.2014
- Author(s)
  A. Mitsuishi and T. Yamaguchi
- Journal Title
  
  Pacific Journal of Math.
  
  Volume: 270 Issue: 2 Pages: 393-421
- DOI
  10.2140/pjm.2014.270.393
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24340009, KAKENHI-PROJECT-26287010
[Journal Article] Stability of strongly Lipschitz contractible balls in Alexandrov spaces.2014
- Author(s)
  A. Mitsuishi and T. Yamaguchi
- Journal Title
  
  Math. Zeitschrift
  
  Volume: 277 Issue: 3-4 Pages: 995-1009
- DOI
  10.1007/s00209-014-1289-3
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24340009, KAKENHI-PROJECT-24654010, KAKENHI-PROJECT-26287010
[Journal Article] Locally strongly Lipschitz contractibility of Alexandrov　spaces2014
- Author(s)
  A. Mitsuishi and T. Yamaguchi
- Journal Title
  
  Pacific J.
  
  Volume: 270 Issue: 1 Pages: 393-421
- DOI
  10.1007/s10711-014-0017-9
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-24654010, KAKENHI-PROJECT-26287010, KAKENHI-PROJECT-26400060, KAKENHI-PROJECT-24244004, KAKENHI-PROJECT-24340013, KAKENHI-PROJECT-15H05739
[Journal Article] Reconstruction of oollapsed manifold2010
- Author(s)
  Yamaguchi, Takao
- Journal Title
  
  Proceedings of ICM 2010
  
  Volume: To appear
- Data Source
  KAKENHI-PROJECT-20654005
[Journal Article] Reconstructionofcollapsedmanifolds2010
- Author(s)
  Yamaguchi, Takao
- Journal Title
  
  Proceedings of ICM 2010
  
  Volume: (To appear)
- Data Source
  KAKENHI-PROJECT-21340013
[Journal Article] Reconstruction of collapsed manifolds2010
- Author(s)
  Yamaguchi, Takao
- Journal Title
  
  Proceedings of the International Congress of Mathematicians
  
  Volume: Volume II Pages: 899-913
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340013
[Journal Article] リッチフローと微分幾何2010
- Author(s)
  山口孝男
- Journal Title
  
  現代幾何学の発展、別冊数理科学
  
  Pages: 38-46
- Data Source
  KAKENHI-PROJECT-20654005
[Journal Article] Reconstruction of collapsed manifolds2010
- Author(s)
  Yamaguchi, Takao
- Journal Title
  
  Proceeding of ICM2010
  
  Volume: VolII Pages: 899-913
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340013
[Journal Article] An upper curvature bound and singularities2009
- Author(s)
  T.Yamaguchi
- Journal Title
  
  Proceeding of Hayashibara Forum (印刷中)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20654005
[Journal Article] An upper curvature bound and singularities, Noncommutativity and Singularities2009
- Author(s)
  T. Yamaguchi
- Journal Title
  
  Advanced Studies in Pure Mathematics 55
  
  Pages: 161-171
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17204003
[Journal Article] An upper curvature bound and singularities2009
- Author(s)
  Yamaguchi, Takao
- Journal Title
  
  Non commutativity and Singularities, Advanced Studies in Pure Mathematics
  
  Volume: 55 Pages: 161-171
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340013
[Journal Article] An upper curvature bound and singularities2009
- Author(s)
  Yamaguchi, Takao
- Journal Title
  
  Noncommutativity and Singularities, Advanced Studies in Pure Mathematics 55
  
  Pages: 161-171
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340013
[Journal Article] Volume collapsed three-manifolds with a lower curvature bound.2005
- Author(s)
  Yamaguchi, Takao
- Journal Title
  
  Math. Ann. 333・1
  
  Pages: 131-155
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-13852001
[Journal Article] Volume collapsed three-manifolds with a lower curvature bound.2005
- Author(s)
  T.Yamaguchi, T.Shioya
- Journal Title
  
  Math.Annalen (発表予定)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-13440024
[Journal Article] Volume collapsed three-manifolds with a lower curvature bound2005
- Author(s)
  T.Yamaguchi
- Journal Title
  
  Math. Annclen 333
  
  Pages: 131-155
- Data Source
  KAKENHI-PROJECT-16654009
[Journal Article] Volume collapsed three-manifolds with a lower curvature bound.2005
- Author(s)
  Yamaguchi, Takao
- Journal Title
  
  Math.Ann. 333-1
  
  Pages: 131-155
- Data Source
  KAKENHI-PROJECT-13852001
[Journal Article] Volume collapsed three-manifolds with a lower curvature bound2005
- Author(s)
  Yamaguchi Takao
- Journal Title
  
  Math.Ann. 333-1
  
  Pages: 131-155
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-13852001
[Journal Article] Volume collapsed three-manifolds with a lower curvature bound2005
- Author(s)
  T.Shioya and T.Yamaguchi
- Journal Title
  
  Math. Annalen 333
  
  Pages: 131-155
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17204003
[Journal Article] Volume collapsed three-manifolds with a lower curv.2005
- Author(s)
  T.Yamaguchi
- Journal Title
  
  Math.Annalen 333
  
  Pages: 131-155
- Data Source
  KAKENHI-PROJECT-17204003
[Journal Article] Volume collapsed three-manifolds with a lower curvature bound2005
- Author(s)
  T.Sioya, T.Yamaguchi
- Journal Title
  
  Math.Annalen (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-13440024
[Journal Article] Alexandrov空間の位相的安定性2004
- Author(s)
  山口孝男
- Journal Title
  
  数学メモアール 3巻
  
  Pages: 93-115
- Data Source
  KAKENHI-PROJECT-16654009
[Journal Article] Alexandrov空間の位相的安定性2004
- Author(s)
  山口孝男
- Journal Title
  
  日本数学会数学メモワール 3
  
  Pages: 93-115
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-13440024
[Journal Article] Topological stability of Alexandrov spaces2004
- Author(s)
  T.Yamaguchi
- Journal Title
  
  Math.Soc.Japan Memoire 3
  
  Pages: 93-115
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-13440024
[Journal Article] Alexandrov空間の位相的安定性2004
- Author(s)
  山口孝男
- Journal Title
  
  数学メモワール 3巻
  
  Pages: 93-115
- Data Source
  KAKENHI-PROJECT-13440024
[Journal Article] Collapsing three-manifolds under a lower curvature bound.2001
- Author(s)
  Takao Yamaguchi, Takashi Shioya
- Journal Title
  
  J. Differential Geom. 56
  
  Pages: 1-66
- Data Source
  KAKENHI-PROJECT-13852001
[Journal Article] Stability of strongly Lipschitz contractible balls in Alexandrov spaces
- Author(s)
  Mitsuishi Ayato and Yamaguchi, Takao
- Journal Title
  
  Math. Zeit
  
  Volume: (印刷中)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340013
[Journal Article] Volume collapsed three-manifolds with a lower curvature bound
- Author(s)
  T.Yamaguchi, T.Shioya.
- Journal Title
  
  Math.Annalen (発表予定)
- Data Source
  KAKENHI-PROJECT-13440024
[Journal Article] Collapsing three-dimensional Alexandrov spaces with a lower curvature bound
- Author(s)
  Mitsuishi Ayato and Yamaguchi, Takao
- Journal Title
  
  Trans. Amer. Math. Soc.
  
  Volume: (印刷中)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340013
[Journal Article] Volume collapsed three-manifolds under a lower curvature bound
- Author(s)
  T.Shioya, T.Yamaguchi
- Journal Title
  
  Math.Annalen (発表予定)
- Data Source
  KAKENHI-PROJECT-16654009
[Journal Article] Locally Lipschitz contractibility of Alexandrov spaces
- Author(s)
  Mitsuishi Ayato and Yamaguchi, Takao
- Journal Title
  
  Pacific J Math
  
  Volume: (印刷中)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340013
[Presentation] Alexandrov 空間の定量的 Lipschitz ホモトピー収束2023
- Author(s)
  藤岡禎司, 三石史人, 山口孝男
- Organizer
  2023年日本数学会秋期総合分科会幾何学分科会
- Data Source
  KAKENHI-PROJECT-23K20790
[Presentation] Two-dimensional locally CAT spaces, revisited - from Alexandrov to Gauss-Bonnet -2023
- Author(s)
  Takao Yamaguchi
- Organizer
  Frontiers of Riemannian Geometry
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K20790
[Presentation] Convergence and collapsing of spaces with boundary2019
- Author(s)
  Takao Yamaguchi
- Organizer
  Curvature and Topology of Spaces
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01118
[Presentation] Limit spaces of Riemannian manifolds with boundary2019
- Author(s)
  Takao Yamaguchi
- Organizer
  The 5th Japan-China Geometry Conference
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01118
[Presentation] 境界つきリーマン多様体の崩壊2018
- Author(s)
  Takao Yamaguchi
- Organizer
  日本数学会年会総合講演
- Invited
- Data Source
  KAKENHI-PROJECT-15K13436
[Presentation] Collapsing Riemannian manifolds with boundary2018
- Author(s)
  T. Yamaguchi
- Organizer
  The 6th German-Japan University Presidents Conference
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01118
[Presentation] 境界つきリーマン多様体の崩壊2018
- Author(s)
  山口孝男
- Organizer
  日本数学会年会総合講演東京大学
- Invited
- Data Source
  KAKENHI-PROJECT-15H05739
[Presentation] 境界つきリーマン多様体の崩壊2018
- Author(s)
  Takao Yamaguchi
- Organizer
  日本数学会年会総合講演
- Invited
- Data Source
  KAKENHI-PROJECT-26287010
[Presentation] Collapsing Riemannian manifolds with boundary2018
- Author(s)
  Takao Yamaguchi
- Organizer
  The sixth German-Japanese University Presidents’ Conference, Osaka University,
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H05739
[Presentation] Comaparison angles and volume2017
- Author(s)
  Takao Yamaguchi
- Organizer
  The 7th international workshop on differential geometry
- Place of Presentation
  唐津市虹の松原ホテル
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26287010
[Presentation] Comaparison angles and volume2017
- Author(s)
  Takao Yamaguchi
- Organizer
  The 7th international workshop on differential geometry
- Place of Presentation
  唐津市虹の松原ホテル
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K13436
[Presentation] Collapsing three-manifolds2017
- Author(s)
  Takao Yamaguchi
- Organizer
  Geometry seminar, Tongji Univ. China
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K13436
[Presentation] Fibration Theorem in the theory of Collapsing2017
- Author(s)
  Takao Yamaguchi
- Organizer
  Geometry seminar, Tongji Univ. China
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26287010
[Presentation] Fibration Theorem in the theory of Collapsing2017
- Author(s)
  Takao Yamaguchi
- Organizer
  Geometry seminar, Tongji Univ. China
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K13436
[Presentation] Collapsing three-manifolds2017
- Author(s)
  Takao Yamaguchi
- Organizer
  Geometry seminar, Tongji Univ. China
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26287010
[Presentation] Inradius collapsed manifolds2016
- Author(s)
  Takao Yamaguchi
- Organizer
  Riemannian Geometry Seminar
- Place of Presentation
  MSRI, USA
- Year and Date
  2016-02-02
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24340009
[Presentation] Inradius　collapsed manifolds2016
- Author(s)
  T. Yamaguchi
- Organizer
  Riemannian Geometry Seminar
- Place of Presentation
  MSRI, Berkeley, USA
- Year and Date
  2016-02-02
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26287010
[Presentation] Inradius　collapsed manifolds2016
- Author(s)
  Takao Yamaguchi
- Organizer
  Geometric analysis on Riemannian ane metric spaces
- Place of Presentation
  数理解析研究所
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K13436
[Presentation] Inradius　collapsed manifolds2016
- Author(s)
  Takao Yamaguchi
- Organizer
  Geometric analysis on Riemannian ane metric spaces,
- Place of Presentation
  京都大学数理解析研究所
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26287010
[Presentation] Inradius　collapsed manifolds2016
- Author(s)
  T. Yamaguchi
- Organizer
  Riemannian Geometry Seminar
- Place of Presentation
  MSRI, USA
- Year and Date
  2016-02-02
- Invited
- Data Source
  KAKENHI-PROJECT-15K13436
[Presentation] 境界つき３次元アレクサンドロフ空間の崩壊2015
- Author(s)
  山口孝男
- Organizer
  2015年日本数学会年会幾何学分科会
- Place of Presentation
  明治大学
- Year and Date
  2015-03-24
- Data Source
  KAKENHI-PROJECT-26287010
[Presentation] Lipschitz homotopy structure of Alexandrov spaces.2014
- Author(s)
  Takao Yamaguchi
- Organizer
  Trends in Modern Geometry
- Place of Presentation
  東京大学、東京
- Year and Date
  2014-07-08
- Invited
- Data Source
  KAKENHI-PROJECT-24340009
[Presentation] 「アレクサンドロフ空間のリプシッツ・ホモトピー構造」2014
- Author(s)
  山口孝男
- Organizer
  談話会
- Place of Presentation
  京都大学、京都
- Year and Date
  2014-06-25
- Invited
- Data Source
  KAKENHI-PROJECT-24340009
[Presentation] アレクサンドロフ空間のリプシッツ・ホモトピー構造2014
- Author(s)
  山口孝男
- Organizer
  京都大学数学談話会
- Place of Presentation
  京都大学
- Year and Date
  2014-06-25
- Invited
- Data Source
  KAKENHI-PROJECT-24654010
[Presentation] Lipschitz homotopy structure of Alexandrov spaces2014
- Author(s)
  T. Yamaguchi
- Organizer
  Trends in Modern Geometry,
- Place of Presentation
  University of Tokyo
- Year and Date
  2014-07-08
- Invited
- Data Source
  KAKENHI-PROJECT-26287010
[Presentation] 境界つき３次元アレクサンドロフ空間の崩壊.2014
- Author(s)
  山口孝男
- Organizer
  微分トポロジーセミナー
- Place of Presentation
  京都大学、京都
- Year and Date
  2014-05-20
- Invited
- Data Source
  KAKENHI-PROJECT-24340009
[Presentation] アレクサンドロフ空間のリプシッツ・ホモトピー構造2014
- Author(s)
  山口孝男
- Organizer
  京都大学数学談話会
- Place of Presentation
  京都大学
- Year and Date
  2014-06-25
- Invited
- Data Source
  KAKENHI-PROJECT-26287010
[Presentation] Lipschitz homotopy structure of Alexandrov spaces2014
- Author(s)
  T. Yamaguchi
- Organizer
  Trends in Modern Geometry,
- Place of Presentation
  University of Tokyo
- Year and Date
  2014-07-08
- Invited
- Data Source
  KAKENHI-PROJECT-24654010
[Presentation] 崩壊とスペクトル逆問題2013
- Author(s)
  山口孝男
- Organizer
  第60回幾何学シンポジウム基調講演
- Place of Presentation
  東京工業大学
- Year and Date
  2013-08-24
- Data Source
  KAKENHI-PROJECT-21340013
[Presentation] Collapsing manifolds and inverse spectral problems2013
- Author(s)
  Yamaguchi, Takao
- Organizer
  Collapsing manifolds and inverse spectral problems
- Place of Presentation
  Kyoto University
- Year and Date
  2013-08-10
- Data Source
  KAKENHI-PROJECT-21340013
[Presentation] Collapsing three dimensional Alexandrov spaces I, II2013
- Author(s)
  Yamaguchi, Takao
- Organizer
  Moduli spaces of low dimensional manifolds
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2013-11-05
- Data Source
  KAKENHI-PROJECT-21340013
[Presentation] アレクサンドロフ空間の局所リプシッツ可縮性とその応用2012
- Author(s)
  三石史人、山口孝男
- Organizer
  日本数学会 2012 年度秋季総合分科会
- Place of Presentation
  九州大学
- Data Source
  KAKENHI-PROJECT-24654010
[Presentation] アレクサンドロフ空間の局所リプシッツ可縮性とその応用2012
- Author(s)
  三石史人、山口孝男
- Organizer
  日本数学会2012年度秋季総合分科会、幾何学分科会
- Place of Presentation
  九州大学(一般講演)
- Year and Date
  2012-09-20
- Data Source
  KAKENHI-PROJECT-24340009
[Presentation] Collapsing manifolds and inverse spectral problems2011
- Author(s)
  Yamaguchi, Takao
- Organizer
  Finnish -Japanese-Korean Workshop on Inverse Problems 2011
- Place of Presentation
  University of Helsinki, Finland
- Year and Date
  2011-12-13
- Data Source
  KAKENHI-PROJECT-21340013
[Presentation] Collapsing manifolds and inverse spectral problems2011
- Author(s)
  Takao Yamaguchi
- Organizer
  Finnish-Japanese-Korean Workshop on Inverse Problems 2011
- Place of Presentation
  University of Helsinki, Finland(招待講演)
- Year and Date
  2011-12-13
- Data Source
  KAKENHI-PROJECT-21340013
[Presentation] Collapsing and essential coverings of Rimennian manifolds2010
- Author(s)
  Yamaguchi, Takao
- Organizer
  The 6th Geometry Conference of friendship of China and Japan
- Place of Presentation
  Xian, China
- Year and Date
  2010-09-04
- Data Source
  KAKENHI-PROJECT-21340013
[Presentation] Collapsing and essential coverings2010
- Author(s)
  Yamaguchi, Takao
- Organizer
  Japan-China Friendship Geometry Meeting
- Place of Presentation
  Xian,China(招待講演)
- Year and Date
  2010-09-04
- Data Source
  KAKENHI-PROJECT-21340013
[Presentation] Reconstruction of collapsed manifolds2010
- Author(s)
  Yamaguchi, Takao
- Organizer
  ICM2010
- Place of Presentation
  Hyderabad, India
- Year and Date
  2010-08-27
- Data Source
  KAKENHI-PROJECT-21340013
[Presentation] Reconstruction of collapsed manifolds2010
- Author(s)
  Yamaguchi, Takao
- Organizer
  International, Congress of Mathematicians 2010
- Place of Presentation
  Hyderabad,India(招待講演)
- Year and Date
  2010-08-27
- Data Source
  KAKENHI-PROJECT-21340013
[Presentation] Reconstruction of collapsed manifolds2010
- Author(s)
  Yamaguchi, Takao
- Organizer
  International Congress of Mathematicians 2010
- Place of Presentation
  Hyderabad, India
- Year and Date
  2010-08-27
- Data Source
  KAKENHI-PROJECT-20654005
[Presentation] リーマン多様体の崩壊と本質的被覆2009
- Author(s)
  山口孝男
- Organizer
  大岡山談話会
- Place of Presentation
  東工大
- Year and Date
  2009-12-02
- Data Source
  KAKENHI-PROJECT-21340013
[Presentation] Collapsing and essential covering of Rimennian manifolds2009
- Author(s)
  Yamaguchi, Takao
- Organizer
  Colloquim, Univ of Notre Dam
- Year and Date
  2009-11-04
- Data Source
  KAKENHI-PROJECT-21340013
[Presentation] Collapsing and essential coverings2009
- Author(s)
  Yamaguchi, Takao
- Organizer
  Collogium talk
- Place of Presentation
  Univ of Notre Dum, VSA
- Year and Date
  2009-11-04
- Data Source
  KAKENHI-PROJECT-21340013
[Presentation] Collapsing and essential covering of Riemannian manifolds,2008
- Author(s)
  T. Yamaguchi
- Organizer
  9th Pacific Rim Geometry Conference
- Place of Presentation
  Taipei
- Year and Date
  2008-12-12
- Data Source
  KAKENHI-PROJECT-17204003
[Presentation] Convergence of surfaces with bounded total absolute curvature, Analysis seminar2008
- Author(s)
  T. Yamaguchi
- Organizer
  Kings College,
- Place of Presentation
  London, England
- Year and Date
  2008-10-16
- Data Source
  KAKENHI-PROJECT-17204003
[Presentation] Perelman による幾何化予想解決2008
- Author(s)
  山口孝男
- Organizer
  日本数学会・日本物理学会合同講演会
- Place of Presentation
  近畿大学
- Year and Date
  2008-03-22
- Data Source
  KAKENHI-PROJECT-17204003
[Presentation] Collapsing and essential covering of Riemannian manifolds, Global KMS International Conference2008
- Author(s)
  T. Yamaguchi
- Organizer
  Invited address
- Place of Presentation
  Jeju,Korea
- Year and Date
  2008-10-24
- Data Source
  KAKENHI-PROJECT-17204003
[Presentation] Collapsing and essential covering of Riemannian manifolds, 9th Pacific Rim Geometry Conference2008
- Author(s)
  T. Yamaguchi
- Organizer
  Invited address,National Taiwan University
- Place of Presentation
  Taipei,Taiwan, Dec
- Year and Date
  2008-10-14
- Data Source
  KAKENHI-PROJECT-17204003
[Presentation] Convergence of surfaces with bounded total absolute curvature,2008
- Author(s)
  T.Yamaguchi
- Organizer
  Analysis seminar
- Place of Presentation
  Kings College, London
- Year and Date
  2008-10-16
- Data Source
  KAKENHI-PROJECT-20654005
[Presentation] Two-dimensional Alexandrov spaces with curvature bounded above,International Conference2007
- Author(s)
  T. Yamaguchi
- Organizer
  Russian-German Geometry Meeting dedicated to the 95th-anniversary of A.D.Alexandrov
- Place of Presentation
  St. Petersburg, Russia
- Data Source
  KAKENHI-PROJECT-17204003
[Presentation] Two-dimensional Alexandrov spaces with curvature bounded above2007
- Author(s)
  Yamaguchi, Takao
- Organizer
  Russian-German Geometry Meeting dedicated to the 95th-anniversary of A. D. Alexandrov
- Place of Presentation
  St. Petersburg, Russia.
- Data Source
  KAKENHI-PROJECT-17204003
[Presentation] An upper curvature bound and singularities2006
- Author(s)
  T. Yamaguchi
- Organizer
  Singularities, Hayashibara forum, IHES, Bure-sur-Yvett
- Place of Presentation
  France
- Data Source
  KAKENHI-PROJECT-17204003
[Presentation] Collapsing $4$-manifolds under a lower curvature bound, I-IX (series of lectures)2006
- Author(s)
  T. Yamaguchi
- Organizer
  University of Maryland,College Park
- Place of Presentation
  USA
- Data Source
  KAKENHI-PROJECT-17204003
[Presentation] アレクサンドロフ空間の局所リプシッツ可縮性とその応用
- Author(s)
  三石史人、山口孝男
- Organizer
  日本数学会 2012 年度秋季総合分科会
- Place of Presentation
  九州大学
- Data Source
  KAKENHI-PROJECT-21340013
[Presentation] 崩壊とスペクトル逆問題
- Author(s)
  Takao　Yamaguchi
- Organizer
  第60回幾何学シンポジウム基調講演
- Place of Presentation
  東京工業大学
- Invited
- Data Source
  KAKENHI-PROJECT-24340009
[Presentation] 崩壊とスペクトル逆問題
- Author(s)
  山口孝男
- Organizer
  第６０回幾何学シンポジウム
- Place of Presentation
  東京工業大学
- Invited
- Data Source
  KAKENHI-PROJECT-21340013
[Presentation] Collapsing three-dimensional Alexandrov spaces 京都大学数理解析研究所
- Author(s)
  Takao　Yamaguchi
- Organizer
  低次元多様体モジュライ空間の幾何学
- Place of Presentation
  京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-24340009
[Presentation] Collapsing three-dimensional Alexandrov spaces
- Author(s)
  山口孝男
- Organizer
  低次元多様体モジュライ空間の幾何
- Place of Presentation
  京都大学
- Invited
- Data Source
  KAKENHI-PROJECT-21340013
[Presentation] Inverse spectral problems for collapsed manifolds
- Author(s)
  山口孝男
- Organizer
  Probability Theory and Geometry
- Place of Presentation
  京都大学
- Invited
- Data Source
  KAKENHI-PROJECT-21340013
[Presentation] 境界つき３次元アレクサンドロフ空間の崩壊
- Author(s)
  三石史人, 山口孝男
- Organizer
  日本数学会・2015年度年会
- Place of Presentation
  明治大学
- Year and Date
  2015-03-21 – 2015-03-24
- Data Source
  KAKENHI-PROJECT-24654010
[Presentation] Inverse　spectral problems for collapsed manifolds
- Author(s)
  Takao　Yamaguchi
- Organizer
  確率論と幾何学
- Place of Presentation
  京都大学理学研究科
- Invited
- Data Source
  KAKENHI-PROJECT-24340009
[Presentation] 崩壊とスペクトル逆問題
- Author(s)
  山口孝男
- Organizer
  第６０回幾何学シンポジウム
- Place of Presentation
  東京工業大学
- Data Source
  KAKENHI-PROJECT-24654010
[Presentation] Inverse spectral problems for collapsed manifolds
- Author(s)
  山口孝男
- Organizer
  Probability theory and Geometry
- Place of Presentation
  Kyoto University
- Data Source
  KAKENHI-PROJECT-24654010

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Yamaguchi Takao 山口 孝男

YAMAGUCHI Takao 山口 孝男

Research Projects

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多様体の収束・崩壊の一般理論の構築に向けてPrincipal Investigator

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New development of the theory of convergence and collapsing of Riemannian manifoldsPrincipal Investigator

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Development of geometric analysis of singular collapsing phenomenonPrincipal Investigator

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New development of Lipschitz structure/collapsing theory of Alexandrov spaces and inverse spectral problemPrincipal Investigator

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New development of inverse spectral problems for singular spacesPrincipal Investigator

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Study of convergence and collapsing phenomena by methods of geometric analysisPrincipal Investigator

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リッチ流による収束理論の新展開Principal Investigator

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Convergence・collapsing theory of manifolds, Ricci flows and the geometry and analysis of singular spacesPrincipal Investigator

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リッチ流による4次元多様体のリプシッツ幾何学の創始Principal Investigator

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Theory of collapsing Riemannian manifolds and geometry of Alexandrov spacesPrincipal Investigator

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Yamaguchi Takao 山口孝男

YAMAGUCHI Takao 山口孝男