Nagano Koichi 永野幸一

… Alternative Names

NAGANO Koichi 永野幸一

永野幸一ナガノコウイチ

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Researcher Number	30333777
Other IDs
Affiliation (Current)	2025: 筑波大学, 数理物質系, 准教授
Affiliation (based on the past Project Information) *help	2023 – 2025: 筑波大学, 数理物質系, 准教授 2020 – 2022: 筑波大学, 数理物質系, 講師 2011 – 2017: 筑波大学, 数理物質系, 講師 2007 – 2010: University of Tsukuba, 大学院・数理物質科学研究科, 講師 2006: 東北大, 理学(系)研究科(研究院), 助手 2004: 東北大, 理学(系)研究科(研究院), 助手 2002 – 2003: 東北大学, 大学院・理学研究科, 助手
Review Section/Research Field	Principal Investigator Geometry / Basic Section 11020:Geometry-related / Geometry Except Principal Investigator Geometry / Basic Section 11020:Geometry-related
Keywords	Principal Investigator アレキサンドルフ空間 / 幾何学 / アダマール空間 / アレキサンドロフ空間 / ホモロジー多様体 / CAT(k)空間 / CAT(1)空間 / CAT(0)空間 / リーマン幾何学 / アレクサンドロフ空間 … More / リーマン多様体 / アレクサンドルフ空間 / リーマン幾何(含幾何解析) / リーマン幾何（含幾何解析） / 微分幾何学 / グロモフ・ハウスドルフ距離 / 非正曲率距離空間 … More Except Principal Investigator 崩壊理論 / アレクサンドロフ空間 / 線織面 / CAT(1)空間 / スペクトル逆問題 / リッチ流 / 崩壊 / 境界つき多様体 / 位相的特異点集合 / 局所CAT(1)空間 / リプシッツ・ホモトピー収束 / CAT 空間 / 境界付きリーマン多様体 / リプシッツ・ホモトピー / CAT空間 / 境界つきリーマン多様体 / リッチ極限空間 / 漸近的自己相似集合 / 特異曲面 / 自己相似集合 / 特異点 / CAT(1)-空間 / 線識面 / 特異空間 / 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 / 測度距離空間 / 幾何解析 / グロモフ・ハウスドルフ収束 / 変分収束理論 / ソウル定理 / リッチ曲率 / 本質的被覆 / 退化 / 軌道体 / リーマン多様体 Less

曲率が上に有界な距離空間の大域リーマン幾何学と幾何学的トポロジーPrincipal Investigator
- Principal Investigator
  
  永野幸一
- Project Period (FY)
  2025 – 2029
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  University of Tsukuba
多様体の収束・崩壊の一般理論の構築に向けて
- 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
Study of the geometric structure of geodesically complete metric spaces with curvature bounded abovePrincipal Investigator
- Principal Investigator
  
  永野幸一
- Project Period (FY)
  2020 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  University of Tsukuba
Development of geometric analysis of singular collapsing phenomenon
- 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
Developments of the geometric topology of homology manifolds with curvature bounded abovePrincipal Investigator
- Principal Investigator
  
  NAGANO Koichi
- Project Period (FY)
  2014 – 2017
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Geometry
- Research Institution
  University of Tsukuba
Study of convergence and collapsing phenomena by methods of geometric analysis
- 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
Geometric topology of spaces with curvature bounded abovePrincipal Investigator
- Principal Investigator
  
  NAGANO Koichi
- Project Period (FY)
  2009 – 2012
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  University of Tsukuba
Study of the topological structure of metric spaces of non-positive curvaturePrincipal Investigator
- Principal Investigator
  
  NAGANO Koichi
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  University of Tsukuba
  Tohoku University
Convergence・collapsing theory of manifolds, Ricci flows and the geometry and analysis of singular spaces
- 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
空間の収束理論の視点による非正曲率空間の幾何構造の研究Principal Investigator
- Principal Investigator
  
  永野幸一
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Tohoku University

All 2023 2022 2021 2018 2012 2011 2010 2008 2007 2006

All Journal Article Presentation Book

[Book] 曲率が上に有界なホモロジー多様体,大学院GP数学レクチャーノートシリーズ,14,東北大学大学院理学研究科2010
- Author(s)
  永野幸一
- Data Source
  KAKENHI-PROJECT-21740036
[Journal Article] CAT(0) 4-manifolds are Euclidean2023
- Author(s)
  Alexander Lytchak, Koichi Nagano, and Stephan Stadler
- Journal Title
  
  Geometry and Topology, to appear
  
  Volume: -
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03603
[Journal Article] CAT(0) 4-manifolds are Euclidean2023
- Author(s)
  Alexander Lytchak, Koichi Nagano, and Stephan Stadler
- Journal Title
  
  Geometry and Topology, to appear
  
  Volume: -
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K20790
[Journal Article] Two-dimensional metric spaces with curvature bounded above II2023
- Author(s)
  Koichi Nagano, Takashi Shioya, and Takao Yamaguchi
- Journal Title
  
  arXiv preprint: arXiv:2308.16398
  
  Volume: -
- Open Access
- Data Source
  KAKENHI-PROJECT-20K03603
[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-20K03603
[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] Asymptotic topological regularity of CAT(0) spaces2022
- Author(s)
  Koichi Nagano
- Journal Title
  
  Annals of Global Analysis and Geometry
  
  Volume: 61 Issue: 2 Pages: 427-457
- DOI
  10.1007/s10455-021-09820-2
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03603, KAKENHI-PROJECT-23K20790
[Journal Article] Volume pinching theorems for CAT(1) spaces2022
- Author(s)
  Koichi Nagano
- Journal Title
  
  American Journal of Mathematics
  
  Volume: 144 Issue: 1 Pages: 267-285
- DOI
  10.1353/ajm.2022.0005
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03603, KAKENHI-PROJECT-23K20790
[Journal Article] Two-dimensional metric spaces with curvature bounded above I2021
- Author(s)
  Koichi Nagano, Takashi Shioya, and Takao Yamaguchi
- Journal Title
  
  arXiv preprint: arXiv:2102:00623
  
  Volume: -
- Open Access
- Data Source
  KAKENHI-PROJECT-20K03603
[Journal Article] CAT(0) 4-manifolds are Euclidean2021
- Author(s)
  Alexander Lytchak, Koichi Nagano, and Stephan Stadler
- Journal Title
  
  arXiv preprint: arXiv:2109.09438
  
  Volume: -
- Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03603
[Journal Article] Volume pinching theorems for CAT(1) spaces2021
- Author(s)
  Koichi Nagano
- Journal Title
  
  American Journal of Mathematics, to appear
  
  Volume: -
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-20K03603
[Journal Article] Asymptotic topological regularity of CAT(0) spaces2021
- Author(s)
  Koichi Nagano
- Journal Title
  
  arXiv preprint: arXiv: 2104:01330
  
  Volume: -
- Open Access
- Data Source
  KAKENHI-PROJECT-20K03603
[Journal Article] Geodesically complete spaces with an upper curvature bound2018
- Author(s)
  Alexander Lytchak and Koichi Nagano
- Journal Title
  
  arXiv.org, preprint, arXiv:1804.05189.
  
  Volume: - Pages: 1-40
- Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26610012
[Journal Article] Free construction of CAT(1) spaces2007
- Author(s)
  Koichi Nagano
- Journal Title
  
  Archiv der Mathematik 88
  
  Pages: 173-180
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740023
[Journal Article] Free construction of CAT(1)spaces2007
- Author(s)
  Koichi Nagano
- Journal Title
  
  Archiv der Mathematik 88
  
  Pages: 173-180
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740023
[Journal Article] Fixed point sets of Parabolic isometries of CAT (0)-spacesn2006
- Author(s)
  Fujiwara, Koji, Shioya, Takashi, Koichi Nagano
- Journal Title
  
  Comment. Math. Helv. 81
  
  Pages: 1305-335
- Data Source
  KAKENHI-PROJECT-17204003
[Journal Article] Fixed point sets of parabolic isometries of CAT(0)-spaces, Comment2006
- Author(s)
  Fujiwara, Koji ; Shioya, Takashi ;Koichi Nagano
- Journal Title
  
  Math. Helv 81
  
  Pages: 1305-1335
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17204003
[Journal Article] Fixed point sets of parabolic isometries of CAT(0)-spaces2006
- Author(s)
  Koji Fujiwara, Koichi Nagano, and Takashi Shioya
- Journal Title
  
  Commentarii Mathematici Helvetici 81
  
  Pages: 305-335
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740023
[Presentation] CAT(0) 4-manifolds are Euclidean2023
- Author(s)
  永野幸一
- Organizer
  ワークショップ「Tsukuba Global Riemannian Geometry」
- Invited
- Data Source
  KAKENHI-PROJECT-23K20790
[Presentation] Wall singularity of spaces with an upper curvature bound2023
- Author(s)
  Koichi Nagano
- Organizer
  Geometry and Probability 2023
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03603
[Presentation] 曲率が上に有界な距離空間の幾何学的トポロジー2023
- Author(s)
  永野幸一
- Organizer
  2023年日本数学会秋季総合分科会（企画特別講演）
- Invited
- Data Source
  KAKENHI-PROJECT-20K03603
[Presentation] On the wall singularity of spaces with an upper curvature bound2023
- Author(s)
  永野幸一
- Organizer
  第70回幾何学シンポジウム（基調講演）
- Invited
- Data Source
  KAKENHI-PROJECT-20K03603
[Presentation] 曲率が上に有界な距離空間の幾何学的トポロジー2023
- Author(s)
  永野幸一
- Organizer
  2023年日本数学会秋季総合分科会（企画特別講演）
- Invited
- Data Source
  KAKENHI-PROJECT-23K20790
[Presentation] Wall singularity of spaces with an upper curvature bound2023
- Author(s)
  Koichi Nagano
- Organizer
  The 8th China-Japan Geometry Conference
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03603
[Presentation] CAT(0) 4-manifolds are Euclidean2023
- Author(s)
  永野幸一
- Organizer
  ワークショップ「Tsukuba Global Riemannian Geometry」
- Invited
- Data Source
  KAKENHI-PROJECT-20K03603
[Presentation] Asymptotic geometric regularity of CAT(0) spaces2023
- Author(s)
  Koichi Nagano
- Organizer
  Frontiers of Riemannian Geometry
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03603
[Presentation] On the wall singularity of spaces with an upper curvature bound2023
- Author(s)
  永野幸一
- Organizer
  第70回幾何学シンポジウム（基調講演）
- Invited
- Data Source
  KAKENHI-PROJECT-23K20790
[Presentation] Asymptotic geometric regularity of CAT(0) spaces2023
- Author(s)
  Koichi Nagano
- Organizer
  Frontiers of Riemannian Geometry
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K20790
[Presentation] Wall singularity of spaces with an upper curvature bound2022
- Author(s)
  Koichi Nagano
- Organizer
  Workshop on Geometry of Spaces with Upper and Lower Curvature Bounds
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K20790
[Presentation] Wall singularity of spaces with an upper curvature bound2022
- Author(s)
  Koichi Nagano
- Organizer
  Workshop on Geometry of Spaces with Upper and Lower Curvature Bounds
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03603
[Presentation] Asymptotic topological regularity of CAT(0) spaces2021
- Author(s)
  永野幸一
- Organizer
  筑波大学微分幾何学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-20K03603
[Presentation] Topological regularity theorems for CAT(0) spaces2021
- Author(s)
  Koichi Nagano
- Organizer
  MSJ-KMS Joint Meeting 2021
- Invited
- Data Source
  KAKENHI-PROJECT-23K20790
[Presentation] Topological regularity theorems for CAT(0) spaces2021
- Author(s)
  Koichi Nagano
- Organizer
  MSJ-KMS Joint Meeting 2021
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03603
[Presentation] Asymptotic topological regularity of CAT(0) spaces2021
- Author(s)
  永野幸一
- Organizer
  筑波大学微分幾何学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-23K20790
[Presentation] CAT(0)空間に対する漸近的位相正則性2012
- Author(s)
  永野幸一
- Organizer
  筑波大学微分幾何学火曜セミナー
- Place of Presentation
  筑波大学
- Year and Date
  2012-12-04
- Data Source
  KAKENHI-PROJECT-21740036
[Presentation] Wall type singularity of spaces with anupper curvature bound2011
- Author(s)
  永野幸一
- Organizer
  研究集会「リーマン幾何学と幾何解析」
- Place of Presentation
  筑波大学
- Year and Date
  2011-02-19
- Data Source
  KAKENHI-PROJECT-21740036
[Presentation] Wall type singularity of spaces with an upper curvature bound2011
- Author(s)
  永野幸一
- Organizer
  研究集会「リーマン幾何学と幾何解析」
- Place of Presentation
  筑波大学
- Year and Date
  2011-02-19
- Data Source
  KAKENHI-PROJECT-21740036
[Presentation] Geodesically complete spaces with an upper curvature bound2010
- Author(s)
  永野幸一
- Organizer
  名古屋大学学生プロジェクト幾何学セミナー
- Place of Presentation
  名古屋大学
- Data Source
  KAKENHI-PROJECT-21740036
[Presentation] Geodesically complete spaces with an uppercurvature bound2010
- Author(s)
  永野幸一
- Organizer
  名古屋大学学生プロジェクト幾何学セミナー
- Place of Presentation
  名古屋大学
- Data Source
  KAKENHI-PROJECT-21740036
[Presentation] Wall type singularity of spaces with anupper curvature bound2010
- Author(s)
  Koichi Nagano
- Organizer
  The 6^<th> Geometry Conference for Friendship of China and Japan
- Place of Presentation
  西北大学(西安,中国)
- Year and Date
  2010-09-05
- Data Source
  KAKENHI-PROJECT-21740036
[Presentation] Wall type singularity of spaces with an upper curvature bound2010
- Author(s)
  Koichi Nagano
- Organizer
  The 6^<th> Geometry Conference for Friendship of China and Japan
- Place of Presentation
  西北大学(西安,中国)(招待講演)
- Year and Date
  2010-09-05
- Data Source
  KAKENHI-PROJECT-21740036
[Presentation] Wall type singularity of spaces with anupper curvature bound2010
- Author(s)
  永野幸一
- Organizer
  The 2010 General Topology Symposium
- Place of Presentation
  筑波大学
- Year and Date
  2010-12-21
- Data Source
  KAKENHI-PROJECT-21740036
[Presentation] 曲率が上に有界な空間の壁型特異性2010
- Author(s)
  永野幸一
- Organizer
  筑波大学微分幾何学火曜セミナー
- Place of Presentation
  筑波大学
- Year and Date
  2010-11-09
- Data Source
  KAKENHI-PROJECT-21740036
[Presentation] A characterization of 2-dimensional spherical buildings2008
- Author(s)
  永野幸一
- Organizer
  リーマン幾何と幾何解析
- Place of Presentation
  筑波大学
- Year and Date
  2008-02-19
- Data Source
  KAKENHI-PROJECT-18740023
[Presentation] 曲率が上に有界な2次元距離空間2008
- Author(s)
  永野幸一
- Organizer
  東北大学談話会
- Place of Presentation
  東北大学
- Year and Date
  2008-11-17
- Data Source
  KAKENHI-PROJECT-18740023
[Presentation] 曲率が上に有界な2次元距離空間2008
- Author(s)
  永野幸一
- Organizer
  東北大学談話会
- Place of Presentation
  東北大学川井ホール
- Year and Date
  2008-11-17
- Data Source
  KAKENHI-PROJECT-18740023
[Presentation] A characterization of 2-dimensional spherical buildings2008
- Author(s)
  永野幸一
- Organizer
  研究会「リーマン幾何と幾何解析」
- Place of Presentation
  筑波大学
- Year and Date
  2008-02-19
- Data Source
  KAKENHI-PROJECT-18740023
[Presentation] Topological regularity of Alexandrov spaces with an upper curvature bound2007
- Author(s)
  Koichi Nagano
- Organizer
  Third Russian-German Geometry Meeting-dedicated 95-anniversary of A. D. Alexandrov
- Place of Presentation
  Steklov Institute of Mathematics (St. Petersburg, Russia)
- Year and Date
  2007-06-18
- Data Source
  KAKENHI-PROJECT-18740023
[Presentation] Topological regularity of Alexandrov spaces with an upper curvature bound2007
- Author(s)
  Koichi, Nagano
- Organizer
  Third Russian-German Geometry Meeting-dedicated 95-anniversary of A.D.Alexandrov
- Place of Presentation
  Steklv Institute of Math.(St.Petersburg,Russia)
- Year and Date
  2007-06-18
- Data Source
  KAKENHI-PROJECT-18740023
[Presentation] CAT(1)空間の位相正則性2006
- Author(s)
  永野幸一
- Organizer
  第53回幾何学シンポジウム, 全体講演
- Place of Presentation
  金沢大学
- Year and Date
  2006-08-05
- Data Source
  KAKENHI-PROJECT-17204003
[Presentation] A sphere theorem for CAT(1) spaces2006
- Author(s)
  永野幸一
- Organizer
  日本数学会秋期総合分科会幾何学分科会, 特別講演
- Place of Presentation
  大阪市立大学
- Year and Date
  2006-09-21
- Data Source
  KAKENHI-PROJECT-18740023
[Presentation] Rectifiability of CAT(1) spaces2006
- Author(s)
  永野幸一
- Organizer
  東北大学幾何学セミナー
- Place of Presentation
  東北大学
- Year and Date
  2006-04-25
- Data Source
  KAKENHI-PROJECT-18740023
[Presentation] Topological regularity of CAT(1) spaces2006
- Author(s)
  永野幸一
- Organizer
  第53回幾何学シンポジウム,全体講演
- Place of Presentation
  金沢大学
- Year and Date
  2006-08-05
- Data Source
  KAKENHI-PROJECT-18740023
[Presentation] CAT(1)空間に対する球面定理2006
- Author(s)
  永野幸一
- Organizer
  日本数学会2006年度秋季総合分科会, 幾何学分科会特別講演
- Place of Presentation
  大阪市立大学
- Year and Date
  2006-09-21
- Data Source
  KAKENHI-PROJECT-17204003
[Presentation] CAT(1)空間の求積可能性2006
- Author(s)
  永野幸一
- Organizer
  研究会「測地線及び関連する諸問題」,
- Place of Presentation
  熊本大学
- Year and Date
  2006-10-28
- Data Source
  KAKENHI-PROJECT-18740023
[Presentation] CAT(1)空間の位相正則性2006
- Author(s)
  永野幸一
- Organizer
  東北大学談話会
- Place of Presentation
  東北大学
- Year and Date
  2006-12-18
- Data Source
  KAKENHI-PROJECT-18740023
[Presentation] Distance and convexity2006
- Author(s)
  Koichi Nagano
- Organizer
  第4回COEシンポジウム「物質階層融合科学の構築」国際会議
- Place of Presentation
  仙台国際センター
- Year and Date
  2006-06-28
- Data Source
  KAKENHI-PROJECT-18740023
[Presentation] Topological regularity of CAT(1) spaces2006
- Author(s)
  永野幸一
- Organizer
  筑波大学微分幾何学火曜セミナー
- Place of Presentation
  筑波大学
- Year and Date
  2006-06-27
- Data Source
  KAKENHI-PROJECT-18740023
[Presentation] Topological regularity of CAT(1) spaces2006
- Author(s)
  永野幸一
- Organizer
  岡山大学談話会
- Place of Presentation
  岡山大学
- Year and Date
  2006-07-21
- Data Source
  KAKENHI-PROJECT-18740023
[Presentation] Topological regularity of CAT(1) spaces2006
- Author(s)
  Koichi Nagano
- Organizer
  Rigidity School, Nagoya 2006
- Place of Presentation
  名古屋大学
- Year and Date
  2006-09-28
- Data Source
  KAKENHI-PROJECT-18740023

1. YAMAGUCHI Takao (00182444)

# of Collaborated Projects: 4 results

# of Collaborated Products: 1 results
2. SHIOYA Takashi (90235507)

# of Collaborated Projects: 2 results

# of Collaborated Products: 2 results
3. FUKAYA Kenji (30165261)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. KASUE Atsuhi (40152657)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. TODA Masahito (80291566)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. ITOH Mitsuhiro (40015912)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. OTSU Yukio (80233170)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. KAWAMURA Kazuhiro (40204771)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. SATOH Hiroyasu (00375396)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. ISOZAKI Hiroshi (90111913)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. 本多正平 (60574738)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. 三石史人 (80625616)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. LYTCHAK Alexander

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results

Nagano Koichi 永野 幸一

NAGANO Koichi 永野 幸一

永野 幸一 ナガノ コウイチ

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曲率が上に有界な距離空間の大域リーマン幾何学と幾何学的トポロジーPrincipal Investigator

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多様体の収束・崩壊の一般理論の構築に向けて

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Study of the geometric structure of geodesically complete metric spaces with curvature bounded abovePrincipal Investigator

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Development of geometric analysis of singular collapsing phenomenon

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Developments of the geometric topology of homology manifolds with curvature bounded abovePrincipal Investigator

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Study of convergence and collapsing phenomena by methods of geometric analysis

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Geometric topology of spaces with curvature bounded abovePrincipal Investigator

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Study of the topological structure of metric spaces of non-positive curvaturePrincipal Investigator

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

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空間の収束理論の視点による非正曲率空間の幾何構造の研究Principal Investigator

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[Book] 曲率が上に有界なホモロジー多様体,大学院GP数学レクチャーノートシリーズ,14,東北大学大学院理学研究科2010

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[Journal Article] CAT(0) 4-manifolds are Euclidean2023

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[Journal Article] CAT(0) 4-manifolds are Euclidean2023

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[Journal Article] Two-dimensional metric spaces with curvature bounded above II2023

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Nagano Koichi 永野幸一

NAGANO Koichi 永野幸一

永野幸一ナガノコウイチ