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KATO Masahide  加藤 昌英

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… Alternative Names

加藤 昌英  カトウ マサヒデ

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Researcher Number 90062679
Other IDs
Affiliation (based on the past Project Information) *help 1992 – 2009: 上智大学, 理工学部, 教授
1989 – 1990: 上智大学, 理工学部, 教授
1986: 上智大, 理工学部, 助教授
Review Section/Research Field
Principal Investigator
Geometry / Geometry / 代数学・幾何学
Except Principal Investigator
Geometry / 代数学・幾何学 / Geometry / Basic analysis
Keywords
Principal Investigator
射影構造 / 複素多様体 / non-Kahler / Hartogs domain / Gauduchon metric / non-Kaehler / 正則写像の拡張 / 葉層構造 / Klein群 / クライン群 … More / Complex projective structure / Klein group / Extension of holomorphic map / Schwarz微分方程式 / Harotgs現象 / 非ケーラー多様体 / 複素射影構造 / extension peoblem / projective structure / complex manifold / 正則拡張性 / 特異ファイバー / Gauduchonメトリック / 正則写像 / projective connections / Characteristic forms / Chern forms / Weyl curvature teusor / Schottky群 / 複素解析的変形 / 連結和 / 複素3次元射影空間 / pluri-closed metric / Klein群理論 / Non-Kaehler / non-Kaehler, Klein群 / 幾何学 / タイヒミュラー空間 / Schttky空間 / 特性類 / 共形構造 / Combination theorem / flat twistor空間 / 双曲多様体 / 射影接続 / twistor空間 / 極限集合 … More
Except Principal Investigator
対称空間 / 階別リー環 / カラビ・ヤウ多様体 / 四元数ケーラー多様体 / 平均曲率一定曲面 / 等径超曲面 / ガウス写像 / 双極化 / 調和写像 / ジ-ゲル領域 / 因果構造 / plurisubharmonicity / Bergman kernel / analytic Zariski decomposition / singular hermitian metrics / closed positive current / Kaehler-Einstein metrics / varieties of general type / pluricanonical systems / 双有理幾何学 / 代数多様体 / モジュライ / 剛性定理 / 乗数イデアル層 / モジュライ空間 / 一般型代数多様体 / ケーラーアインシュタイン計量 / ケーラー多様体 / 変形 / ベクトル束 / タイヒミュラー空間 / 多重標準系 / ベルグマン核 / 多重標準形 / 特異エルミート計量 / 不変測度 / 多重種数 / アインシュタイン計量 / ケーラー計量 / 標準束 / 多重標準写像 / Seiberg-Witten equation / 4 dimensional Kahler manifold / total curvature / constant mean curvature surface / Gauss map / exceptional holonomy / homogeneous hypersurface / isoparametric hypersurface / 平均曲率-定曲面 / 概複素曲線 / Seiberg-Witten不変量 / Einstein計量 / DS-diagram / ラグランジュ錐 / ラグランジュ・ルジャンドル部分多様体 / 距離空間のモジュライ / 例外ホロノミー / 等径・等質超曲面 / サイバーグウィッテン方程式 / 4元数ケーラー多様性 / 全曲率 / 例学ホロノミー / 等質超曲面 / Harmonic maps / Surfaces of constant mean curvature / Completely integrable systems / Shape operators / Isoparametric hypersurfaces / Austere submanifolds / Lagrangian submanifolds / Gauss mapping / スペシャルラグランジアン部分多様体 / 退化 / 重複度 / 主曲率 / 可積分系 / 型作用素 / Austere部分多様体 / ラグランジアン部分多様体 / 変換の方程式 / 正則解 / 合成積方程式 / 正則性 / 形式解 / 特異点 / 複素領域 / 偏微分方程式 / 関数方程式 / 一般化された共形構造 / リー環の双極化 / パラケーラー多様体 / オメガ領域 / g-指数 / 反自己双対接続 / マスキット定理 / インスタントン / ペンローズ変換 / 反自己双対束 / 正則共形構造 / 頂点作用素 / p調和写像 / リー環の中の双極化 / パラケーラー構造 / ジョルダン代数 / 双曲・双曲型微分方程式 / オイラー公式 / チャーン類 / 共形チャーン類 / 大域的強擬凸超曲面 / パラケ-ラ-構造 / 互いに可換な対合 / 擬ケ-ラ-対称空間 / 階別リ-環 / 対称空間の準同型 / 調和写像の安定性 / ヴァ-テックス作用素 / Gevrey族 / 特性〓を表わす微分形式 / 射影構造 / 階別り一環 Less
  • Research Projects

    (20 results)
  • Research Products

    (10 results)
  • Co-Researchers

    (32 People)
  •  Extension property of holomorphic maps and the structure of complex manifoldsPrincipal Investigator

    • Principal Investigator
      KATO Masahide
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Sophia University
  •  A STUDY OF SINGULARITIES IN NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS IN THE COMPLEX DOMAIN

    • Principal Investigator
      TAHARA Hidetoshi
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Sophia University
  •  Extension property of holomorphic maps and complex structures of the target manifoldsPrincipal Investigator

    • Principal Investigator
      KATO Masahide
    • Project Period (FY)
      2005 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Sophia University
  •  Study of moduli spaces of projective varieties of general type

    • Principal Investigator
      TSUJI Hajime
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Sophia University
  •  Differential equations and theory of submanifolds

    • Principal Investigator
      MIYAOKA Reiko
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kyushu University
      Sophia University
  •  Differential systems and submanifolds theory

    • Principal Investigator
      MIYAOKA Reiko
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Sophia University
  •  Projective structures on compex manifoldsPrincipal Investigator

    • Principal Investigator
      KATO Masahide
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Sophia University
  •  対称空間の幾何学的理論とその応用

    • Principal Investigator
      長野 正
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Sophia University
  •  階別リー環とその応用

    • Principal Investigator
      金行 壮二
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Sophia University
  •  対称空間の幾何学的理論と応用

    • Principal Investigator
      長野 正
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Sophia University
  •  複素多様体上の射影構造Principal Investigator

    • Principal Investigator
      加藤 昌英
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Sophia University
  •  複素解析的高次元クライン群理論の試みPrincipal Investigator

    • Principal Investigator
      加藤 昌英
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Sophia University
  •  複素解析的な高次元クライン群理論の試みPrincipal Investigator

    • Principal Investigator
      加藤 昌英
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Sophia University
  •  対称空間の構造論の応用

    • Principal Investigator
      長野 正
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Sophia University
  •  階別リー環の幾何学

    • Principal Investigator
      金行 壯二
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Sophia University
  •  ある種の複素射影構造をもつ複素多様体について.Principal Investigator

    • Principal Investigator
      加藤 昌英
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Sophia University
  •  対称空間の間の調和写像

    • Principal Investigator
      長野 正
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Sophia University
  •  階別リ-環の幾何学

    • Principal Investigator
      金行 壯二
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Sophia University
  •  階別り一環の幾何学

    • Principal Investigator
      KANEYUKI Soji
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Sophia University
  •  複素多様体の解析的連結和Principal Investigator

    • Principal Investigator
      加藤 昌英
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Sophia University

All 2007 2006 Other

All Journal Article

  • [Journal Article] On Blanchard manifolds2007

    • Author(s)
      M. Kato-K, Komada
    • Journal Title

      Tokyo J.Math 30

      Pages: 397-401

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540197
  • [Journal Article] On Blanchard Manifolds2007

    • Author(s)
      Kato, Masahide ; Komada, Kazuya
    • Journal Title

      Tokyo Journal of Mathematics 30

      Pages: 397-401

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540100
  • [Journal Article] On Blanchard Manifolds2007

    • Author(s)
      Kato, Masahide
    • Journal Title

      Tokyo Journal of Mathematics 30

      Pages: 397-401

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540100
  • [Journal Article] Compact quotients of large domains in a complex projective 3-space2006

    • Author(s)
      Masahide Kato
    • Journal Title

      Tokyo J.Math. 29

      Pages: 209-232

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540094
  • [Journal Article] Compact quotients of large domains in a complex projective 3-space2006

    • Author(s)
      Masahide Kato
    • Journal Title

      Tokyo Journal of Mathematics 29.1

      Pages: 209-232

    • Data Source
      KAKENHI-PROJECT-17540094
  • [Journal Article] Compact quotients of large domains in a complex projective 3-spaces2006

    • Author(s)
      Masahide Kato
    • Journal Title

      Tokyo Journal of Mathematics 29.1

      Pages: 209-232

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540094
  • [Journal Article] Existence of invariant planes in a complex projective 3-space under discrete projective transformation groups

    • Author(s)
      Kato, Masahide
    • Journal Title

      To appear in Tokyo Journal of Mathematics

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540100
  • [Journal Article] Compact Quotients with Positive Algebraic Dimensions of Large Domains in a Complex Projective 3-space

    • Author(s)
      Kato, Masahide
    • Journal Title

      Journal of the Mathematical Society of Japan (To appear(確定))

    • NAID

      10027871183

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540100
  • [Journal Article] Existence of invariant planes in a complex projective 3-space under discrete projective transformation groups

    • Author(s)
      Kato, Masahide
    • Journal Title

      Tokyo Journal of Mathematics (To appear(確定))

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540100
  • [Journal Article] Compact Quotients with Positive Algebraic Dimensions of Large Domains in a Complex Projective 3-space

    • Author(s)
      Kato, Masahide
    • Journal Title

      To appear in the Journal of Mathematical Society of Japan

    • NAID

      10027871183

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540100
  • 1.  KANEYUKI Soji (40022553)
    # of Collaborated Projects: 15 results
    # of Collaborated Products: 0 results
  • 2.  NAGANO Tadashi (10189144)
    # of Collaborated Projects: 14 results
    # of Collaborated Products: 0 results
  • 3.  YOKOYAMA Kazuo (10053711)
    # of Collaborated Projects: 9 results
    # of Collaborated Products: 0 results
  • 4.  谷口 肇 (40053657)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 5.  並河 長典 (80228080)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 6.  TAHARA Hidetoshi (60101028)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 7.  NAGATOMO Yasuyuki (10266075)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 8.  UCHIYAMA Koichi (20053689)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 9.  TSUJI Hajime (30172000)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 10.  MIYAOKA Reiko (70108182)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 11.  横沼 健雄 (00053645)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 12.  篠田 健一 (20053712)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 13.  YAMADA Mikiko (70384170)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 14.  UMEHARA Masaki (90193945)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 15.  田丸 博士 (50306982)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 16.  野海 正俊 (80164672)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  高橋 禮司 (80159003)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  岩堀 長慶 (60011417)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  西沢 清子 (90053686)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  藤川 英華 (80433788)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  OUCHI Sunao (00087082)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  HIRATA Hitoshi (20266076)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  YOSHINO Kunio (60138378)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  OTSU Yukio (80233170)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  YAMADA Kotaro (10221657)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  ISHIKAWA Goo (50176161)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  木村 真琴 (30186332)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  石田 政司 (50349023)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  FUTAKI Akito (90143247)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  ISHII Shihoko (60202933)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  藤田 隆夫 (40092324)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  AOYAGI Miki (90338434)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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