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TAKEUCHI Hiroshi  竹内 博

ORCIDConnect your ORCID iD *help
… 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
  • Research Projects

    (11 results)
  • Research Products

    (7 results)
  • Co-Researchers

    (22 People)
  •  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

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