KAWAI Shigeo 河合茂生

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

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 Issue: 2 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

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5. NISHI Akio (60022274)

# of Collaborated Projects: 5 results

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6. ICHIKAWA Takashi (20201923)

# of Collaborated Projects: 5 results

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7. ISHIKAWA Susumu (10039258)

# of Collaborated Projects: 5 results

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8. TAKAKUWA Shoichiro (10183435)

# of Collaborated Projects: 5 results

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9. TAKEUCHI Hiroshi (20197271)

# of Collaborated Projects: 5 results

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10. 北原和明 (40195277)

# of Collaborated Projects: 5 results

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11. UEHARA Tsuyoshi (80093970)

# of Collaborated Projects: 4 results

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12. NAITOH Hiroo (10127772)

# of Collaborated Projects: 4 results

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13. 牧春夫 (60031788)

# of Collaborated Projects: 4 results

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14. KAMETANI Yukio (70253581)

# of Collaborated Projects: 3 results

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15. SHIOHAMA Katsuhiro (20016059)

# of Collaborated Projects: 3 results

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16. MASHIKO Yukihiro (00315178)

# of Collaborated Projects: 3 results

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17. YAMADA Kotaro (10221657)

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18. NAKAHARA Toru (50039278)

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19. HIROSE Susumu (10264144)

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20. KOMIYA Katsuhiro (00034744)

# of Collaborated Projects: 2 results

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21. TERAI Naoki (90259862)

# of Collaborated Projects: 2 results

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22. MIYAZAKI Chikashi (90229831)

# of Collaborated Projects: 2 results

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23. MITOMA Itaru (40112289)

# of Collaborated Projects: 2 results

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24. KATO Shin (10243354)

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25. 古庄康浩 (00039281)

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26. 田中達治 (80039370)

# of Collaborated Projects: 2 results

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27. KIUCHI Isao (30271076)

# of Collaborated Projects: 1 results

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28. SATO Yoshihisa (90231349)

# of Collaborated Projects: 1 results

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29. OKADA Mari (40201389)

# of Collaborated Projects: 1 results

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30. MAEDA Sadahiro (40181581)

# of Collaborated Projects: 1 results

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31. SHODA Toshihiro (10432957)

# of Collaborated Projects: 1 results

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32. YOSHIDA Kenichi (80240802)

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33. YANAGAWA Kouji (40283006)

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34. KIMURA Kyouko (60572633)

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35. MURAI Satoshi (90570804)

# of Collaborated Projects: 1 results

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36. SUGITA Hiroshi (50192125)

# of Collaborated Projects: 1 results

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37. SUGAHARA Kunio (20093255)

# of Collaborated Projects: 1 results

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38. ITOH Jin-ichi (20193493)

# of Collaborated Projects: 1 results

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39. KATAYAMA Yoshikazu (10093395)

# of Collaborated Projects: 1 results

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40. KOYAMA Akira (40116158)

# of Collaborated Projects: 1 results

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41. INOUE Atsushi (40011613)

# of Collaborated Projects: 1 results

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42. KUBO Masahiro (80205129)

# of Collaborated Projects: 1 results

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43. KOBAYASHI Osamu (10153595)

# of Collaborated Projects: 1 results

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44. KUROGI Tetsunori (90022681)

# of Collaborated Projects: 1 results

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45. MATSUZOE Hiroshi (90315177)

# of Collaborated Projects: 1 results

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46. SHIMA Hirohiko (70028182)

# of Collaborated Projects: 1 results

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47. 小倉幸雄 (00037847)

# of Collaborated Projects: 1 results

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48. 瀧川真也 (00211350)

# of Collaborated Projects: 1 results

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49. 藤田景子 (40274568)

# of Collaborated Projects: 1 results

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50. 上野一男 (10193822)

# of Collaborated Projects: 1 results

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51. 高嶋恵三 (00137184)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

KAWAI Shigeo 河合 茂生

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リーマン多様体の共形変形とスカラー曲率Principal Investigator

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KAWAI Shigeo 河合茂生