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Kamada Hiroyuki  鎌田 博行

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KAMADA Hiroyuki  鎌田 博行

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Researcher Number 00249799
Affiliation (Current) 2025: 宮城教育大学, 教育学部, 教授
Affiliation (based on the past Project Information) *help 2011 – 2016: 宮城教育大学, 教育学部, 教授
2007 – 2008: Miyagi University of Education, Department of Education, Associate Professor
2003 – 2006: 宮城教育大学, 教育学部, 助教授
2000 – 2002: 沼津工業高等専門学校, 教養科, 助教授
1999: Numazu College of Technology, Division of Liberal Arts, Assistant Professor, 教養科, 講師 … More
1996 – 1998: 沼津工業高等専門学校, 一般科目, 講師
1995: 沼津工業高等専門学校, 一般科目, 助手
1994: 沼津工業高等専門学校一般科目, 助手 Less
Review Section/Research Field
Principal Investigator
Geometry / Geometry
Except Principal Investigator
Basic analysis / Basic analysis / Geometry / Geometry / 解析学
Keywords
Principal Investigator
四元数CR構造 / ツイスター空間 / 定スカラー曲率 / (不定値)ケーラー計量 / 板東・カラビ・二木の障害 / ケーラー計量 / 超CR構造 / 超 / (2,2)型計量 / 四元数CR構造 … More / ツイスター概CR構造 / 強積分可能性 / パラ超複素構造 / ニュートラル構造 / ニュートラル計量 / 不定値レヴィ形式 / ツイスターCR構造 / HKT(捩付ケーラー)多様体 / 超CR多様体 / 超複素多様体 / 複素幾何学 / 定スカラー曲率ケーラー計量 / 超強擬凸性 / HKT多様体(構造) / 超CR多様体(構造) / 超複素多様体(構造) / 強擬凸性・超擬凸性 / ヌルキリングベクトル場 / 自己双対多様体 / 超擬凸性 / 強擬凸性 / レヴィ形式 / ヌル・キリングベクトル場 / ルブラン・メイソン対応 / (一般化された)坂東・カラビ・二木指標 / トーリック多様体 / ケーラー類 / 板東・カラビ・二木不変量 / ヒルツェブルフ曲面 / スカラー曲率 / 時間的S^1対称性 / 自己双対不定値ケーラー計量 / 田中・丹野・Webster接続 / 擬Hermite構造 / 坂東・Calabi・二木指標 / Hirzebruch曲面 / de Sitterアンザッツ / スカラー平坦不定値Kaehler計量 / 自己双対不定値Kaehler計量 / 第一種小平曲面 / 概Hermite-Einstein-Weyl構造 / Einstein-Weyl構造 / (2,2)型超Kahler構造 / 超ケーラー計量 / 分裂四元数 / 自己双対性 … More
Except Principal Investigator
有理型写像 / 除外指数 / ネヴァンリンナ理論 / 不定値ケーラー計量 / 平坦トーラス / meromorphic map / 一意性問題 / ツイスター理論 / Nevanlinna理論 / 値分布論 / 自己双対性 / 一意性定理 / Nevanlinna theory / deficiency / flat torus / 不定値計量 / algebraic dependence / unicity theorem / 有限性定理 / 代数的従属性 / twistor theory / モンジュ・アンペール方程式 / 第2主要定理 / 除外因子 / 正則曲線 / 一次系 / ツイスター空間 / 不変量δ / CAT(0)空間 / 固定点性質 / ランダム群 / 幾何構造 / 旗多様体 / Landau-Schottky型定理 / Schwarz の補題 / Borel型恒等式 / 複素解析幾何学 / 複素関数論 / 微分幾何学 / 波動方程式 / 複素幾何学 / scalar curvature / indefinite Khaeler metric / Khaeler manifold / uniqueness problem / meromorpphic mapping / 不定値ケーラー計算 / 平坦とーラス / スカラー曲率 / ケーラー多様体 / 除外値 / delta-subharmonic function / self duality / indefinite Kaehler metric / isometric deformation / flat tori / 対数微分の補題 / 有理形写像 / デルタ劣調和関数 / 等長的変形 / indefinite Khaler metric / Nevanlinna's deficiency / ネヴァンリンナ除外値 / 自己双対計量 / 等長的はめ込み / 除外関係式 / half-flat pertial connection / hypergeometric equation / Goursat equation / sub-Laplacian / Language structure / pure spinor structure / ルジャンドル測地線 / 特殊ラグランジアン部分多様体 / 接触構造 / サブ・ラプラシアン / 特殊ラグランジアン / アインシュタイン・ケーラー多様体 / 例外群G_2 / インスタントン / 第2種旗多様体 / 半平坦部分接続 / 超幾何方程式 / グルサー方程式 / サブラプラシアン / ラグランジュ構造 / 純スピノル構造 / finiteness theorem / Nevanlinna's deficient divisor / ネヴァンリンナの除外値 / Monge-Ampere equation / self-duality / Grassmannian structure / geometric structure / 田中理論 / ダブル・ファイバリング / Grassmann(グラスマン)構造 / グラスマン構造 / Croftonの公式 / イデアルの連接層 / 剰余項 / 射影的代数多様体 / 解析的連接イデアル層 / ビルディング / 田中-ウェブスター接続 / 四元数CR幾何 / Biquard接続 / 田中ウィブスター接続 / 四元数接触構造 / ボホナー・ワイツェンベック型公式 / Rumin複体 / 強擬凸CR多様体 / 四元数CR構造 / 非線形スペクトルギャップ / 射影構造 / 定スカラー曲率ケーラー計量 / トレース恒等式 / 極小曲面 / シュワルツ微分 / 組合せ調和写像 / クライン群 / 結晶格子 / 超剛性定理 / 超CR多様体 / 四元数CR多様体 / (動径的)歪み係数 / 歪み係数 / 離散群 / ツイスター / 時空構造 / (反)自己双対性 / (2,2)-計量 / 局所対称空間 Less
  • Research Projects

    (19 results)
  • Research Products

    (16 results)
  • Co-Researchers

    (22 People)
  •  Vakue distribution theory of meromorphic mappings

    • Principal Investigator
      Aihara Yoshihiro
    • Project Period (FY)
      2013 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Fukushima University
  •  Geometric structures related to neutral metricsPrincipal Investigator

    • Principal Investigator
      Kamada Hiroyuki
    • Project Period (FY)
      2012 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Miyagi University of Education
  •  Twistor theoretic approach for the geometry of non-Riemannian type connection

    • Principal Investigator
      NAKATA Fuminori
    • Project Period (FY)
      2012 – 2015
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Geometry
    • Research Institution
      Fukushima University
  •  Study of problems on discrete groups by geometric methods

    • Principal Investigator
      NAYATANI Shin
    • Project Period (FY)
      2009 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Nagoya University
  •  Value distribution theory of meromorphic maps, especially on unicity problems and deficiencies on linear systems

    • Principal Investigator
      AIHARA Yoshihiro
    • Project Period (FY)
      2009 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Fukushima University
  •  Research for various structures in complex geometry and conformal geometry and their indefinite analoguePrincipal Investigator

    • Principal Investigator
      KAMADA Hiroyuki
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Miyagi University of Education
  •  Study of rigidity of discrete groups by geometric methods

    • Principal Investigator
      NAYATANI Shin
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Nagoya University
  •  Uniqueness problem and deficient divisors of meromorphic mappings

    • Principal Investigator
      AIHARA Yoshihiro
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Numazu College of Technology
  •  複素多様体上の(不定値)ケーラー計量の幾何学とその一般化に関する研究Principal Investigator

    • Principal Investigator
      鎌田 博行
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Geometry
    • Research Institution
      Miyagi University of Education
  •  The uniqueness and the degeneracy problems of meromorphic maps and the construction of meromorphic maps with deficient devisors.

    • Principal Investigator
      ATSUJI Atsushi, 相原 義弘
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Keio University
      Numazu National College of Technology
  •  複素および超複素多様体上の擬リーマン計量とその共形構造に関する研究Principal Investigator

    • Principal Investigator
      鎌田 博行
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Geometry
    • Research Institution
      Numazu National College of Technology
  •  Value distribution thieory of meromorphic mappings, in particular, uniqueness, degeneracy and normal families of meromorphic mappings

    • Principal Investigator
      AIHARA Yoshihiro
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Numazu College of Technology
  •  The twistor correspondence between different geometric structures and its application

    • Principal Investigator
      MACHIDA Yoshinori
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Numazu National College of Technology
  •  On the value distribution of meromorphic mappings (the uniqueness problem and the existence problem of deficient divisors)

    • Principal Investigator
      AIHARA Yoshihiro
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Numazu College of Technology
  •  多様体上の幾何構造およびその積分可能性に関する研究Principal Investigator

    • Principal Investigator
      鎌田 博行
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Geometry
    • Research Institution
      Numazu National College of Technology
  •  On the correspondences and relations betweendifferent geometric structares by twistor theory

    • Principal Investigator
      MACHIDA Yoshinon
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Numazu College of Technology
  •  計量の自己双対性と幾何構造についてPrincipal Investigator

    • Principal Investigator
      鎌田 博行
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Geometry
    • Research Institution
      Numazu National College of Technology
  •  時空構造とツイスター理論の関係の一般化,量子化等の研究について

    • Principal Investigator
      待田 芳徳
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Numazu National College of Technology
  •  局所対称空間のコンパクト化への有理型写像の値分布論について

    • Principal Investigator
      AIHARA Yoshihiro
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Numazu National College of Technology

All 2015 2014 2013 2012 2010 2009 2005 Other

All Journal Article Presentation Book

  • [Book] Current Developments in Differential Geometry and its Related Fields (Almost CR structure on the twistor space of a quaternionic CR manifold)2015

    • Author(s)
      Hiroyuki Kamada and Shin Nayatani 他
    • Total Pages
      234
    • Publisher
      World Scientific
    • Data Source
      KAKENHI-PROJECT-24540062
  • [Book] Current Developments in Differential Geometry and its Related Fields (Almost CR Structure on the Twistor Space of a Quaternionic CR Manifold)2015

    • Author(s)
      Hiroyuki Kamada and Shin Nayatani; A. Arvanitoyeorgos, Y. Sakane and M. Statha; T. Adachi; F. Nakata; N. Ando; N.A. Ivanov; M. Ivanova and H. Manev; N. Ejiri and T. Shoda; Y. Tursun; H. Hashimoto and K. Suzuki; G. Nakova; H. Matsuzoe; M. Ohashi; Q. Shi; M.J. Hristov
    • Total Pages
      241
    • Publisher
      World Scientific
    • Data Source
      KAKENHI-PROJECT-24540062
  • [Book] 4次元微分幾何学への招待(SGCライブラリ113)2014

    • Author(s)
      松下泰雄・鎌田博行・中田文憲
    • Total Pages
      187
    • Publisher
      サイエンス社
    • Data Source
      KAKENHI-PROJECT-24740050
  • [Journal Article] Quaternionic CR geometry2013

    • Author(s)
      Hiroyuki Kamada and Shin Nayatani
    • Journal Title

      Hokkaido Mathematical Journal

      Volume: 印刷中(in press)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540062
  • [Journal Article] Quaternionic CR geometry2013

    • Author(s)
      納谷信、鎌田博行
    • Journal Title

      Hokkaido Mathematical Journal

      Volume: 42

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340014
  • [Journal Article] Quaternionic CR geometry2013

    • Author(s)
      鎌田博行, 納谷信
    • Journal Title

      Hokkaido Mathematical Journal

      Volume: 42 Pages: 159-207

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340014
  • [Journal Article] Indefinite K\ahler metrics of constant scalar curvatureon Hirzebruch surfaces, Bull2009

    • Author(s)
      鎌田博行
    • Journal Title

      London Math. Soc

      Volume: 41 Pages: 1060-1072

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540205
  • [Journal Article] Compact scalar-flat indefinite Kahler surfaces with Hamiltonian S1-symmetry2005

    • Author(s)
      Hiroyuki Kamada
    • Journal Title

      Commun.Math.Phys. 254

      Pages: 23-44

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540196
  • [Journal Article] Compact scalar-flat indefinite Kahler surfaces with Hamiltonian S1-symmetry2005

    • Author(s)
      Kamada, Hiroyuki
    • Journal Title

      Commun.Math.Phys. 254

      Pages: 23-44

    • Data Source
      KAKENHI-PROJECT-14540196
  • [Journal Article] Compact scalar-flat indefinite Kahler surfaces with Hamiltonian S1-symmetry2005

    • Author(s)
      Hiroyuki Kamada
    • Journal Title

      Communications in Mathematical Physics 254

      Pages: 23-44

    • Data Source
      KAKENHI-PROJECT-15740048
  • [Journal Article] Compact scalar-flat indefinite Kaehler surfaces with Hamiltonian S1-symmetry2005

    • Author(s)
      Hiroyuki Kamada
    • Journal Title

      Commun.Math.Phys. 254

      Pages: 23-44

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540196
  • [Presentation] Quaternionic CR structure: a geometric structure modeled on a real hypersurface in a quaternionic manifold2015

    • Author(s)
      Hiroyuki Kamada
    • Organizer
      Workshop on almost Hermitian and contact geometry
    • Place of Presentation
      Castle Bedlewo, Bedlewo, Poland
    • Year and Date
      2015-10-18
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24540062
  • [Presentation] Quaternionic CR structure, Progress of geometric structures on manifolds2014

    • Author(s)
      鎌田博行
    • Organizer
      名城大学幾何学研究集会
    • Place of Presentation
      名城大学
    • Data Source
      KAKENHI-PROJECT-21340014
  • [Presentation] 四元数CR構造について2012

    • Author(s)
      鎌田博行
    • Organizer
      シンプレクティック幾何とその周辺2012
    • Place of Presentation
      放送大学秋田学習センター
    • Data Source
      KAKENHI-PROJECT-21340014
  • [Presentation] Geometric structures related to neutral metrics on complex manifolds2010

    • Author(s)
      鎌田博行
    • Organizer
      幾何学阿蘇研究会
    • Place of Presentation
      休暇村南阿蘇
    • Data Source
      KAKENHI-PROJECT-21540205
  • [Presentation] Geometric structures modeled on a real hypersurface in a quaternionic manifold

    • Author(s)
      Hiroyuki Kamada
    • Organizer
      Fourth International Colloquim on Differential Geometry and its Related Fields
    • Place of Presentation
      St. Cyril and St. Methodius University of Veliko Tarnovo (Veliko Tarnovo, Bulgaria)
    • Year and Date
      2014-09-08 – 2014-09-11
    • Data Source
      KAKENHI-PROJECT-24540062
  • 1.  AIHARA Yoshihiro (60175718)
    # of Collaborated Projects: 13 results
    # of Collaborated Products: 0 results
  • 2.  IZEKI Hiroyasu (90244409)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 3.  KITAGAWA Yoshihisa (20144917)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 4.  ATSUJI Astushi (00221044)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 5.  MACHIDA Yoshinon (90141895)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 6.  NAYATANI Shin (70222180)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 5 results
  • 7.  ITO Kentaro (00324400)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 8.  MORI Seiki (80004456)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 9.  KANAI Masahiko (70183035)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 10.  KOTANI Motoko (50230024)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 11.  NAKAGAWA Yasuhiro (90250662)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 12.  SATO Hajime (30011612)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 13.  NAKANISHI Toshihiro (00172354)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 14.  NAITO Hisashi (40211411)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 15.  NAKATA FUMINORI (80467034)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 2 results
  • 16.  EJIRI Norio (80145656)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  KOBAYASHI Toshimasa (30399125)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  KONDO Takefumi (60467446)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  FUJII Kazuyuki (00128084)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  HASHIMOTO Hideya (60218419)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  OHASHI Misa (70710359)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  MATSUSHITA Yasuo
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 1 results

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