TAKEUCHI Hiroshi 竹内博

… Alternative Names

竹内博タケウチヒロシ

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Researcher Number	20197271
Other IDs
External Links
Affiliation (based on the past Project Information) *help	2003 – 2009: 四国大学, 経営情報学部, 教授 1998 – 2001: 四国大学, 経営情報学部, 教授 1998: SHIKOKU UNIVERSITY,FACULTY OF INFORMATION BUSINESS,PROFESSOR, 情報経営学部, 教授 1998: 四国大学, 経営情報学部, 助教授 1996: 四国大学, 経営情報学部, 助教授
Review Section/Research Field	Principal Investigator Geometry / Global analysis / Global analysis Except Principal Investigator Geometry / Global analysis / Global analysis / Geometry
Keywords	Principal Investigator P-調和写像 / P-ラプラシアン / グラフ / スペクトル / リーマン多様体 / graph / P-ラプラス作用素 / 無限グラフ / グリーン核 / P-harmonic morphism … More / 第1固有値 / スペクトラム / P-harmonic map / P-Laplace operator / spectrum / p-調和写像 / p-調和関数 / 幾何学 / p-ラプラシアン / p-harmonic morphism / p-harmonic function / p-harmonic map / Riemannian manifold … More Except Principal Investigator n-harmonic map / n-調和写像 / p-調和写像 / 変分問題 / 共形幾何構造 / 逆問題 / スペクトル / p-harmonic map / variational problem / ラプラシアン / スペクトル逆問題 / 安定性 / conformal geometric structure / スペクトル収束 / グロモフ-ハウスドルフ距離 / 距離関数 / リーマン多様体 / 曲率 / 測地線 / 比較定理 / ねじれ積 / 捩れ積 / Riemannian manifolds / Curvature / Geodesic / Comparison Theorem / Warped product / ハウスドルフ距離 / 等スペクトルグラフ / 等周定数 / spectrum / inverse problem / stability / the Hausdorff distance / Laplacian / isospectral graphs / isoperimetric constants / 多様体 / conformal structure / manifold / ランダムウォーク / べき零群 / グロモフハウスドルフ収束 / 酔歩 / ハイゼンベルグ群 / ハーパー作用素 / 半古典近似 / random walks / nilpotent groups / Inverse spectral Problem / Gromov-Hausdorff convergence / 調和写像 / 大域解析学 / 楕円型方程式 / Concentration phenomenon / harmonic map / global analysis / elliptic equation Less

Geometric Structures and Topology
- Principal Investigator
  
  KATSUDA Atsushi
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Okayama University
n-harmonic maps and conformal structures on Riemannian manifolds
- Principal Investigator
  
  NAKAUCHI Nobumitsu
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Yamaguchi University
studies on the relationship of the structure of manifolds and p-harmonic functionsPrincipal Investigator
- Principal Investigator
  
  TAKEUCHI Hiroshi
- Project Period (FY)
  2004 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Shikoku University
n-harmonic maps and geometries of conformal structures on Riemannian manifolds
- Principal Investigator
  
  NAKAUCHI Nobumitsu
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Yamaguchi University
Geometric Structures on Manifolds and Graphs
- Principal Investigator
  
  KATSUDA Atsushi
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  OKAYAMA UNIVERSITY
n-harmonic maps with applications to geometry of conformal structures on manifolds
- Principal Investigator
  
  NAKAUCHI Nobumitsu
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Yamaguchi University
The properties of P-harmonic maps and the application to GeometryPrincipal Investigator
- Principal Investigator
  
  TAKEUCHI Hiroshi
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Shikoku University
Geometric structure and topology of manifolds and graphs
- Principal Investigator
  
  KATSUDA Atsushi
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Okayama University
n-harmonic maps and conformal structures on manifolds
- Principal Investigator
  
  NKAUCHI Nobumitsu
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Yamaguchi University
CURVATURE AND STRUCURE OF SPACES
- Principal Investigator
  
  SAKAI Takashi
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  OKAYAMA UNIVERSITY
P-調和写像の性質及びその応用Principal Investigator
- Principal Investigator
  
  竹内博
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Shikoku University

All 2008 2003

All Journal Article

[Journal Article] 調和写像流について2008
- Author(s)
  竹内博
- Journal Title
  
  四国大学紀要・自然科学偏第26号
  
  Pages: 13-17
- Data Source
  KAKENHI-PROJECT-16540208
[Journal Article] 調和写像流について2008
- Author(s)
  竹内博
- Journal Title
  
  四国大学紀要, 自然科学編 26
  
  Pages: 13-17
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540208
[Journal Article] Notes on the harmonic map heat flows(In Japanese)2008
- Author(s)
  Hiroshi Takeuchi
- Journal Title
  
  Bulletin of Shikoku University Ser. B No 26
  
  Pages: 13-17
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540208
[Journal Article] The spectrum of the p-Laplacian and p-harmonic morphisms on graphs2003
- Author(s)
  Hiroshi Takeuchi
- Journal Title
  
  Illinois Journal of Math. 47
  
  Pages: 939-955
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540209
[Journal Article] The spectrum of the p-Laplacian and p-harmonic morphisms on graphs2003
- Author(s)
  Hirshi Takeuchi
- Journal Title
  
  Illinois Journal of Math. 47
  
  Pages: 939-955
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540209
[Journal Article] The spectrum of the p-Laplacian and p-harmonic morphisms on graphs2003
- Author(s)
  Hiroshi Takeuchi
- Journal Title
  
  Illinois J. Math. Vol.47, No.3
  
  Pages: 939-955
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540208
[Journal Article] The spectrum of the p-Laplacian and p-harmonic morphisms on graphs2003
- Author(s)
  竹内博
- Journal Title
  
  Illinois Journal of mathematics 47
  
  Pages: 939-955
- Data Source
  KAKENHI-PROJECT-16540208

1. SAKAI Takashi (70005809)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
2. KATSUDA Atsushi (60183779)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
3. KAWAI Shigeo (30186043)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
4. SHIMAKAWA Kazuhisa (70109081)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
5. NAKAUCHI Nobumitsu (50180237)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
6. TAKAKUWA Shoichiro (10183435)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
7. TAMURA Hideo (30022734)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
8. IKEDA Akira (30093363)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
9. NAITOH Hiroo (10127772)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
10. KOMIYA Katsuhiro (00034744)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
11. KIYOHARA Kazuyoshi (80153245)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
12. MIMURA Mamoru (70026772)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
13. KATO Shin (10243354)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
14. KIUCHI Isao (30271076)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. SATO Yoshihisa (90231349)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. OKADA Mari (40201389)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. TANAKA Naoki (00207119)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. KOBAYASHI Osamu (10153595)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. HARIMA Tadahito (30258313)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. 石川佳弘 (50294400)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. 吉岡巌 (70033199)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
22. SHIMA Hirohiko (70028182)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

TAKEUCHI Hiroshi 竹内 博

竹内 博 タケウチ ヒロシ

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studies on the relationship of the structure of manifolds and p-harmonic functionsPrincipal Investigator

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The properties of P-harmonic maps and the application to GeometryPrincipal Investigator

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P-調和写像の性質及びその応用Principal Investigator

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[Journal Article] 調和写像流について2008

Author(s)

Journal Title

Data Source

[Journal Article] 調和写像流について2008

Author(s)

Journal Title

Description

Data Source

[Journal Article] Notes on the harmonic map heat flows(In Japanese)2008

Author(s)

Journal Title

Description

Data Source

[Journal Article] The spectrum of the p-Laplacian and p-harmonic morphisms on graphs2003

Author(s)

Journal Title

TAKEUCHI Hiroshi 竹内博

竹内博タケウチヒロシ