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KAWAI Shigeo  河合 茂生

ORCIDConnect your ORCID iD *help
Researcher Number 30186043
Affiliation (based on the past Project Information) *help 1997 – 2014: 佐賀大学, 文化教育学部, 教授
1998: 佐賀大学, 文化学部, 教授
1998: 佐賀大学, 理工学部, 教授
1995: 佐賀大学, 教育学部, 教授
1991 – 1994: Saga Univ., Fac. of Education, Ass. Prof., 教育学部, 助教授
Review Section/Research Field
Principal Investigator
Geometry
Except Principal Investigator
Geometry / Global analysis / 代数学・幾何学 / General mathematics (including Probability theory/Statistical mathematics) / Algebra / Geometry / Global analysis / Algebra
Keywords
Principal Investigator
スカラー曲率 / 円形パズル / フィボナッチ数列の周期 / 2次体 / alpha-closed set / generalized closed set / 弱チェビシェフ系 / radial curvature / 計量の共形変形 / 周期的同相写像 / コボルディズム / simple invariant / Horikawa surface … More
Except Principal Investigator
… More 変分問題 / n-harmonic map / n-調和写像 / p-調和写像 / 共形幾何構造 / Laplacian / 有限型部分多様体 / Jacobi operator / Riemannian manifold / 調和写像 / p-harmonic map / variational problem / scalar curvature / eigenvalue / 極小自由分解 / harmonic stability / hypersurface / constant scalar curvature / 二重調和部分多様体 / mean curvature / Ricci curvature / sectional curvature / Euclidean space and sphere / homogeneous manifold / Biharmonic operator / submanifold / リ-マン多様体 / 平均値定理 / 調和空間 / 局所対称空間 / 平均量の漸近展開 / アインシュタイン空間 / ブラウン運動の平逆脱出時刻 / 漸近的独立性 / パーマネント / 二項定理 / 包除原理 / 有界変動 / 凸関数 / チャウ形式 / 生成射影 / d重埋め込み / プリュッカー座標 / sg-閉集合 / sg-同相写像 / プレ閉集合 / オペレーション / γ(ガンマー)-開集合 / 無限マルコフ系 / 2重調和部分多様体 / アレクサンドロフ曲面 / モジュライ空間 / 共形計量 / チョウ形式 / ファジイ / 分枝過程 / conformal geometric structure / Stanley-Reisner環 / Cohen-Macaulay環 / 重複度 / 形式べき / Cohen-Macaulay / エッジイデアル / Laplace作用素の固有値問題 / the clamped plate problem / 固有値に関する普遍不等式 / 固有値の下限 / 固有値の上限 / スカラー曲率 / 超曲面 / 埋め込み超曲面 / 平均曲率 / ヤコビ作用素の固有値 / 安定性指数 / m次平均曲率 / 超曲面の安定性 / ヤコビ作用素 / 固有値の普遍不等式 / リーマン多様体 / Polya予想 / biharmonic作用素の固有値問題 / 試験関数 / 多重調和微分作用素 / 普遍不等式 / Universal inequalities / eigenvalu es / Stanley-Reisner ideal / minimal free resolution / arithmetical rank / Stanley-Reisner イデアル / 算術階数 / Stanley-Reisner イデアル / 共形写像 / 等角写像 / pullback / symphonic map / C-stationary map / 円分体 / 類数 / 合同式 / 2次体 / イデアル類群 / 単数群 / 素因数分解アルゴリズム / 楕円曲線 / 円単数 / ヤコビ和 / RSA暗号 / Cyclotomic Field / Class Number / Congruence Relation / Quadratic Field / Ideal Class Group / Unit Group / Factorizing Algorithm / Elliptic Curve / Riemann多様体 / Alexandrov空間 / 理想境界 / Busemann関数 / 最小跡 / Alexandrov space / ideal boundary / Busemann function / cut locus / 擬ユークリッド幾何 / 空間型部分多様体 / 極小曲面 / 共形幾何 / 部分多様体 / 平均曲率一定曲面 / スペクトル幾可 / 共形幾可 / 指定ユークツカド幾可 / アレクサンドロウ空間 / スペクトル幾何 / アレクサンドロフ空間 / 平均曲率一定曲面(CFIC) / Finite Type Submanifold / Biharmonic Submanifold / Harmonic Map / Psudo-Euclidean Geometry / Spacelike Submanifold / Minimal Submanifold / Conformal Geometry / Chern-Simons積分 / スーパーフィールド / 停留位相法 / ウィナー空間 / リンク不変量 / 位相不変量 / 確率解析 / chern-Simons積分 / リーマン面 / Chern Simons integral / super fields / method of stationary phase / Wiener spsce / Ink invariant / topological invariant / 多様体 / conformal structure / manifold / 極小部分多様体 / 部分多様体論 / 極小曲面論 / 共形幾何学 / 有限型多様体 / 二重調和多様体 / Finite type submanifold / Biharmonic submanifold / Minimal submanifold / 大域解析学 / 楕円型方程式 / Concentration phenomenon / harmonic map / global analysis / elliptic equation / complete submanifold / eigenvalues of Laplacian / complete minimail hypersuface / statistical manifold / sphere / constant mean curvature / complete hypersuface / fundamental group / first eigen value of p-Laplacian / Euclidean space / complete submanifolds / Gauss-Kronecker curvature / radial curvature / maximal diameter theorem / differentiable sphere theorem / complete submanifod / eigen values of Laplacian / Buckling problem / universal inequality / Dirichlet eigenvalue problem / Gauss-Kronecker curvatrue / Bucking problem / universal inequalit / sacalar curvature Less
  • Research Projects

    (22 results)
  • Research Products

    (15 results)
  • Co-Researchers

    (51 People)
  •  a variational problem with respect to conformal maps and a variational problem for pullbacks of metrics

    • Principal Investigator
      NAKAUCHI Nobumitsu
    • Project Period (FY)
      2012 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Yamaguchi University
  •  Minimal free resolutions and the arithmetical rank of Stanley-Reisner ideals

    • Principal Investigator
      TERAI Naoki
    • Project Period (FY)
      2011 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Saga University
  •  Study on the multiplicities and minimal free resolutions of Stanley-Reisner rings

    • Principal Investigator
      TERAI Naoki
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Saga University
  •  The development and fusion on the geometry of submanifolds and theory for eigenvalues of the differential operators in Riemannian manifolds

    • Principal Investigator
      CHENG Qing-Ming
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Saga 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
  •  Research on geometryof eigenvalues of differential operators and submanifolds

    • Principal Investigator
      CHENG Qing ming
    • Project Period (FY)
      2006 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Saga 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
  •  Research on curvature structures and topological structures of submanifolds in Riemannian manifolds

    • Principal Investigator
      CHENG Qing-ming
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Saga University
  •  GEOMETRY OF LAPLACE OPERATOR OR ITS VARIATION TYPE OPERATOR ON RIEMANNIAN MANIFOLD (2003)

    • Principal Investigator
      ISHIKAWA Susumu
    • Project Period (FY)
      2000 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      SAGA 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
  •  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
  •  Compactifications of Riemannian manifolds and points at infinity

    • Principal Investigator
      SUGAHARA Kunio
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Osaka Kyoiku University
  •  The Spectral Geometry on the submanifold of (pseudo-) Euclidean space

    • Principal Investigator
      ISHIKAWA Susumu
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      SAGA UNIVERSITY
  •  Research of Chern-Simons Integral, Super Fields and Method of Stationary Phase

    • Principal Investigator
      MITOMA Itaru
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      SAGA UNIVERSITY
  •  リーマン多様体の共形変形とスカラー曲率Principal Investigator

    • Principal Investigator
      河合 茂生
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Saga University
  •  位相空間論と関連領域の研究

    • Principal Investigator
      牧 春夫
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Saga University
  •  有限型部分多様体とその周辺領域への応用

    • Principal Investigator
      石川 晋
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Saga University
  •  代数多様体のモヂュライ理論の研究

    • Principal Investigator
      田中 達治
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Saga University
  •  リーマン多様体の共形変形とスカラー曲率Principal Investigator

    • Principal Investigator
      河合 茂生
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Saga University
  •  多パラメタ多項分布の研究

    • Principal Investigator
      西 晃央
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Saga University
  •  多様体上の平均値定理

    • Principal Investigator
      KOZAKI Masanori
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Saga University
  •  Congruence relations between class numbers of cyclotomic fields

    • Principal Investigator
      UEHARA Tsuyoshi
    • Project Period (FY)
      1990 – 1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Saga University

All 2013 2007 2006 2005 2003 Other

All Journal Article Presentation

  • [Journal Article] Weak conformality of stable stationary maps for a functional related to conformality2013

    • Author(s)
      Shigeo Kawai and Nobumitsu Nakauchi
    • Journal Title

      Differential Geometry and its Applications

      Volume: 31 Pages: 151-165

    • DOI

      10.1016/j.difgeo.2012.11.002

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540091, KAKENHI-PROJECT-24540213
  • [Journal Article] On the point spectrum of the Dirac operator on a non-compact manifold2006

    • Author(s)
      S., Kawai
    • Journal Title

      Journal of Geometry and Physics 56

      Pages: 1782-1789

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540091
  • [Journal Article] On the point spectrum of the Dirac operator on a non-compact manifold2006

    • Author(s)
      S. Kawai
    • Journal Title

      Journal of Geometry and Physics 56

      Pages: 1782-1789

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540091
  • [Journal Article] The first eigenvalue of the p-Laplacian on a compact Riemannian manifold2005

    • Author(s)
      S.Kawai
    • Journal Title

      in Nonlinear Analysis (To appear)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540085
  • [Journal Article] The first eigenvalue of the p-Laplacian on a compact Riemannian manifold2005

    • Author(s)
      S.Kawai, N.Nakauchi
    • Journal Title

      Nonlinear Analysis (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540085
  • [Journal Article] The first eigenvalue of the p-Laplacian on a compact Riemannian manifold2003

    • Author(s)
      Shigeo Kawai
    • Journal Title

      Nonlinear Analysis 55

      Pages: 33-46

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540209
  • [Journal Article] The first eigenvalue of the p-Laplacian on a compact Riemannian manifold2003

    • Author(s)
      Shigeo Kawai, Nobumitsu Nakauchi
    • Journal Title

      Nonlinear Analysis 55

      Pages: 33-46

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540209
  • [Journal Article] on the point spectrum of the Dirac operator on a non-compact manifold

    • Author(s)
      Shigeo Kawai
    • Journal Title

      Journal of Geometry and Physics (To appear)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540209
  • [Journal Article] On the point spectrum of the Dirac operator on a non-compact manifold

    • Author(s)
      Shigeo Kawai
    • Journal Title

      Journal of Geometry and Physics (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540209
  • [Journal Article] On the point spectrum of the Dirac operator on a non-compact manifold

    • Author(s)
      Shigeo Kawai
    • Journal Title

      Journal of Geometry and Physics (To appear)

    • Data Source
      KAKENHI-PROJECT-15540209
  • [Presentation] Spectrum of Dirac operator2007

    • Author(s)
      S. Kawai
    • Organizer
      Japan-Korea Workshop on Differential Geometry
    • Place of Presentation
      佐賀大学
    • Year and Date
      2007-08-22
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-18540091
  • [Presentation] Real spectrum of Dirac operator on nonimpact manifolds2007

    • Author(s)
      S., Kawai
    • Organizer
      The 53th Geometry Symposium
    • Place of Presentation
      Kakoshima University
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540091
  • [Presentation] 非コンパクト多様体のディラック作用素の真性スペクトル2007

    • Author(s)
      河合 茂生
    • Organizer
      第54回幾何学シンポジウム
    • Place of Presentation
      鹿児島大学
    • Year and Date
      2007-08-25
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-18540091
  • [Presentation] Spectrum of Dirac operator2007

    • Author(s)
      S., Kawai
    • Organizer
      Japan-Korea Workshop on Differential Geometry
    • Place of Presentation
      Saga University
    • Year and Date
      2007-08-22
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540091
  • [Presentation] 非コンパクト多様体のデイラック作用素の真性スペクトル2007

    • Author(s)
      河合 茂生
    • Organizer
      第54回幾何学シンポジウム
    • Place of Presentation
      鹿児島大学
    • Year and Date
      2007-08-25
    • Data Source
      KAKENHI-PROJECT-18540091
  • 1.  MACHIGASHIRA Yoshiroh (00253584)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 2.  NAKAUCHI Nobumitsu (50180237)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 2 results
  • 3.  CHENG Qing-Ming (50274577)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 4.  KOZAKI Masanori (70039262)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 5.  NISHI Akio (60022274)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 6.  ICHIKAWA Takashi (20201923)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 7.  ISHIKAWA Susumu (10039258)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 8.  TAKAKUWA Shoichiro (10183435)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 9.  TAKEUCHI Hiroshi (20197271)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 10.  北原 和明 (40195277)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 11.  UEHARA Tsuyoshi (80093970)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 12.  NAITOH Hiroo (10127772)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 13.  牧 春夫 (60031788)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 14.  KAMETANI Yukio (70253581)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 15.  SHIOHAMA Katsuhiro (20016059)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 16.  MASHIKO Yukihiro (00315178)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 17.  YAMADA Kotaro (10221657)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 18.  NAKAHARA Toru (50039278)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 19.  HIROSE Susumu (10264144)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 20.  KOMIYA Katsuhiro (00034744)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 21.  TERAI Naoki (90259862)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 22.  MIYAZAKI Chikashi (90229831)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 23.  MITOMA Itaru (40112289)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 24.  KATO Shin (10243354)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 25.  古庄 康浩 (00039281)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 26.  田中 達治 (80039370)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 27.  KIUCHI Isao (30271076)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  SATO Yoshihisa (90231349)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  OKADA Mari (40201389)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  MAEDA Sadahiro (40181581)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  SHODA Toshihiro (10432957)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  YOSHIDA Kenichi (80240802)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  YANAGAWA Kouji (40283006)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 34.  KIMURA Kyouko (60572633)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 35.  MURAI Satoshi (90570804)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 36.  SUGITA Hiroshi (50192125)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 37.  SUGAHARA Kunio (20093255)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 38.  ITOH Jin-ichi (20193493)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 39.  KATAYAMA Yoshikazu (10093395)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 40.  KOYAMA Akira (40116158)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 41.  INOUE Atsushi (40011613)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 42.  KUBO Masahiro (80205129)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 43.  KOBAYASHI Osamu (10153595)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 44.  KUROGI Tetsunori (90022681)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 45.  MATSUZOE Hiroshi (90315177)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 46.  SHIMA Hirohiko (70028182)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 47.  小倉 幸雄 (00037847)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 48.  瀧川 真也 (00211350)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 49.  藤田 景子 (40274568)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 50.  上野 一男 (10193822)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 51.  高嶋 恵三 (00137184)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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