KAMADA Hiroyuki 鎌田博行

Researcher Number	00249799
Affiliation (Current)	2022: 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 Geometry / Geometry / Basic analysis / Basic analysis / 解析学
Keywords	Principal Investigator 四元数CR構造 / (2,2)型計量 / 超 / 超CR構造 / ケーラー計量 / 板東・カラビ・二木の障害 / (不定値)ケーラー計量 / 定スカラー曲率 / ツイスター空間 / 自己双対性 … More / 分裂四元数 / 超ケーラー計量 / (2,2)型超Kahler構造 / Einstein-Weyl構造 / 概Hermite-Einstein-Weyl構造 / 第一種小平曲面 / 自己双対不定値Kaehler計量 / スカラー平坦不定値Kaehler計量 / de Sitterアンザッツ / Hirzebruch曲面 / 坂東・Calabi・二木指標 / 擬Hermite構造 / 田中・丹野・Webster接続 / 自己双対不定値ケーラー計量 / 時間的S^1対称性 / スカラー曲率 / ヒルツェブルフ曲面 / 板東・カラビ・二木不変量 / ケーラー類 / トーリック多様体 / (一般化された)坂東・カラビ・二木指標 / ルブラン・メイソン対応 / ヌル・キリングベクトル場 / レヴィ形式 / 強擬凸性 / 超擬凸性 / 自己双対多様体 / ヌルキリングベクトル場 / 強擬凸性・超擬凸性 / 超複素多様体(構造) / 超CR多様体(構造) / HKT多様体(構造) / 超強擬凸性 / 定スカラー曲率ケーラー計量 / 複素幾何学 / 超複素多様体 / 超CR多様体 / HKT(捩付ケーラー)多様体 / ツイスターCR構造 / 不定値レヴィ形式 / ニュートラル計量 / ニュートラル構造 / パラ超複素構造 / 強積分可能性 / ツイスター概CR構造 / 四元数ＣＲ構造 … More Except Principal Investigator 有理型写像 / ネヴァンリンナ理論 / 除外指数 / 一意性定理 / 自己双対性 / 値分布論 / Nevanlinna理論 / ツイスター理論 / 一意性問題 / meromorphic map / 平坦トーラス / 不定値ケーラー計量 / 幾何構造 / ランダム群 / 固定点性質 / CAT(0)空間 / 不変量δ / ツイスター空間 / 一次系 / 正則曲線 / 除外因子 / 第2主要定理 / モンジュ・アンペール方程式 / twistor theory / 代数的従属性 / 有限性定理 / unicity theorem / algebraic dependence / 不定値計量 / flat torus / deficiency / Nevanlinna theory / 局所対称空間 / (2,2)-計量 / (反)自己双対性 / 時空構造 / ツイスター / 離散群 / 歪み係数 / (動径的)歪み係数 / 四元数CR多様体 / 超CR多様体 / 超剛性定理 / 結晶格子 / クライン群 / 組合せ調和写像 / シュワルツ微分 / 極小曲面 / トレース恒等式 / 定スカラー曲率ケーラー計量 / 射影構造 / 非線形スペクトルギャップ / 四元数CR構造 / 強擬凸CR多様体 / Rumin複体 / ボホナー・ワイツェンベック型公式 / 四元数接触構造 / 田中ウィブスター接続 / Biquard接続 / 四元数CR幾何 / 田中-ウェブスター接続 / ビルディング / 解析的連接イデアル層 / 射影的代数多様体 / 剰余項 / イデアルの連接層 / Croftonの公式 / グラスマン構造 / Grassmann(グラスマン)構造 / ダブル・ファイバリング / 田中理論 / geometric structure / Grassmannian structure / self-duality / Monge-Ampere equation / ネヴァンリンナの除外値 / Nevanlinna's deficient divisor / finiteness theorem / 純スピノル構造 / ラグランジュ構造 / サブラプラシアン / グルサー方程式 / 超幾何方程式 / 半平坦部分接続 / 第2種旗多様体 / インスタントン / 例外群G_2 / アインシュタイン・ケーラー多様体 / 特殊ラグランジアン / サブ・ラプラシアン / 接触構造 / 特殊ラグランジアン部分多様体 / ルジャンドル測地線 / pure spinor structure / Language structure / sub-Laplacian / Goursat equation / hypergeometric equation / half-flat pertial connection / 除外関係式 / 等長的はめ込み / 自己双対計量 / ネヴァンリンナ除外値 / Nevanlinna's deficiency / indefinite Khaler metric / 等長的変形 / デルタ劣調和関数 / 有理形写像 / 対数微分の補題 / flat tori / isometric deformation / indefinite Kaehler metric / self duality / delta-subharmonic function / 除外値 / ケーラー多様体 / スカラー曲率 / 平坦とーラス / 不定値ケーラー計算 / meromorpphic mapping / uniqueness problem / Khaeler manifold / indefinite Khaeler metric / scalar curvature / 複素幾何学 / 波動方程式 / 微分幾何学 / 複素関数論 / 複素解析幾何学 / Borel型恒等式 / Schwarz の補題 / Landau-Schottky型定理 / 旗多様体 Less

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 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 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 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 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 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 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 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

KAMADA Hiroyuki 鎌田 博行

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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

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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

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KAMADA Hiroyuki 鎌田博行