KITAGAWA Yoshihisa 北川義久

… Alternative Names

北川義久キタカ゛ワヨシヒサ

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Researcher Number	20144917
Other IDs
External Links
Affiliation (based on the past Project Information) *help	2009 – 2017: Utsunomiya University, 教育学部, 教授 2002 – 2007: Utsunomiya Univ., Dept. of Education, Professor, 教育学部, 教授 1993 – 2001: 宇都宮大学, 教育学部, 助教授 1991: 宇都宮大学, 教育学部, 助教授
Review Section/Research Field	Principal Investigator Geometry / Geometry Except Principal Investigator Basic analysis / Basic analysis / 教科教育 / Algebra / 解析学 / Global analysis / Geometry / Geometry
Keywords	Principal Investigator 平坦トーラス / 部分多様体 / 微分幾何学 / isometric deformation / flat torus / submanifold / 等長的変形 / 剛性 / 直径 / 正則閉曲線 … More / 平均曲率 / 3次元球面 / 微分幾何 / dynamical system / meromorphic mapping / 3-sphere / mean curvature / differential geometry / 力学系 / 有理型写像 / ２重接触 / ３次元球面 / 体積 / 閉曲線 / ベクトル場 / ベックルンド変換 / 視覚化 / 剛性定理 / 直径予想 / クリフォードトーラス / 接触 / クリフォードトーラス / 波面 / 2重接触 / 外的直径 … More Except Principal Investigator 有理型写像 / 除外指数 / 値分布論 / 不定値ケーラー計量 / 平坦トーラス / Nevanlinna理論 / ネヴァンリンナ理論 / flat torus / 一意性問題 / Nevanlinna theory / deficiency / Axiom A / shadowing property / meromorphic map / 一意性定理 / MATHEMATICS EDUCATION / 数学教育 / 曲線 / 曲面 / 微分幾何学 / 第2主要定理 / 除外因子 / 正則曲線 / 一次系 / 岩澤不変量 / 岩澤理論 / 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 / 有限性定理 / 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 / 自己双対性 / 等長的変形 / MATHEMATICAL CONCEPT FORMATION / SELECTIVE PERCEPTION / MATHEMATICAL COMMUNICATION / HEARING IMPAIRED STUDENT / 選択的知覚 / 障害児教育 / 数学的概念の形成 / 操作的意味 / 数学的コミュニケーション / 聴覚障害児教育 / vector fields / pseudo orbits / strong transversality condition / bifurcation / dynamical systems theory / connectin lemma / カオス / 分岐 / connecting lemma / 構造安定性 / ベクトル場 / 擬軌道尾行性 / indefinite Khaler metric / Nevanlinna's deficiency / algebraic dependence / unicity theorem / ネヴァンリンナ除外値 / 代数的従属性 / 不定値計量 / 自己双対計量 / 等長的はめ込み / 除外関係式 / Geometric structure / Riemannian manifold / Curvature / Surface / Curve / Differential Geometry / Submanifold / 幾何構造 / リーマン多様体 / 曲率 / 部分多様体 / DEVELOPMENT OF MATERIAL / CASE STUDY / REPRESENTATIVE CLASS OF LEARNING PROCESS / 事例研究 / 数学授業 / 算数授業 / 作品 / 教材開発 / 事例的研究 / 作品化授業 / 双対性 / 4頂点定理 / 変曲点 / ガウス・ボンネの定理 / ガウス写像 / 極大曲面 / ４頂点定理 / 波面 / 超曲面 / 半正定値計量 / ガウス曲率 / 特異点 / 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 / ネバンリンナ理論 / I_p-拡大 / 有限位相 / II_p-拡大 / convex set / Boolcan Matrix / Lipschitz condition / hyper group / F.and M.Riesz theorem / preorder / 指数函数 / 星函数 / スプレッド,リレ-ション / 整函数 / 有理型函数 Less

Studies on diameter conjecture on flat tori in the unit spherePrincipal Investigator
- Principal Investigator
  
  Kitagawa Yoshihisa
- Project Period (FY)
  2015 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Utsunomiya University
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
Studies on some open problems concerning flat tori in odd dimensional spheresPrincipal Investigator
- Principal Investigator
  
  KITAGAWA Yoshihisa
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Utsunomiya University
Geometry of curves, surfaces and hypersurfaces with singularities
- Principal Investigator
  
  UMEHARA Masaaki
- Project Period (FY)
  2010 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Institute of Technology
  Osaka University
Studies on some open problems concerning flat tori in the unit 3-spherePrincipal Investigator
- Principal Investigator
  
  KITAGAWA Yoshihisa
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Utsunomiya 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
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
Geometry of the flat tori in the sphere and non- linear wave equationsPrincipal Investigator
- Principal Investigator
  
  KITAGAWA Yoshihisa
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Utsunomiya University
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
Bifurcations of vector fields possessing the shadowing property
- Principal Investigator
  
  SAKAI Kazuhiro
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Utsunomiya University
TO SHARPEN THE HEARING IMPAIRED STUDENTS' ABILITY OF SELECTOVE PERCEPTION IN THE MATHEMATICAL COMMUNICATION
- Principal Investigator
  
  EMORI Hideyo
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  教科教育
- Research Institution
  UTSUNOMIYA UNIVERSITY
Geometry of the flat tori in the 3-sphere and its higher dimensional generalizationPrincipal Investigator
- Principal Investigator
  
  KITAGAWA Yoshihisa
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Utsunomiya University
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
DIFFERENTIAL GEOMETRIC RESEARCH ON SUBMANIFOLDS
- Principal Investigator
  
  OGIUE Koichi
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  TOKYO METROPOLITAN UNIVERSITY
Studies on Curvatures of SubmanifoldsPrincipal Investigator
- Principal Investigator
  
  KITAGAWA Yoshihisa
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Utsunomiya University
Case Study of Mathematics Classes toward the Representation of Learning Process.
- Principal Investigator
  
  KIMURA Hiroshi
- Project Period (FY)
  1996 – 1997
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  教科教育
- Research Institution
  Utsunomiya University
岩澤理論の研究
- Principal Investigator
  
  藤崎源二郎
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Utsunomiya University
岩澤理論の研究
- Principal Investigator
  
  藤崎源二郎
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Utsunomiya University
フーリエ変換に関連する函数解析学
- Principal Investigator
  
  越昭三
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Utsunomiya University
有理型函数の値分布について
- Principal Investigator
  
  KIMURA Shigeru
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Utsunomiya University

All 2018 2016 2015 2014 2012 2011 2010 2008 2007 2005 2003 Other

All Journal Article Presentation

[Journal Article] Erratum to: Extrinsic diameter of immersed flat tori in S^32014
- Author(s)
  Y.Kitagawa, M.Umehara
- Journal Title
  
  Geometriae Dedicata
  
  Volume: 171 Issue: 1 Pages: 407-412
- DOI
  10.1007/s10711-013-9900-z
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540066
[Journal Article] ３次元球面内の平坦トーラスに関する直径予想2012
- Author(s)
  北川義久
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 1817
- Data Source
  KAKENHI-PROJECT-24540066
[Journal Article] Extrinsic diameter of immersed flat tori in S^3 Geometriae Dedicata2011
- Author(s)
  北川義久and梅原
- Volume
  155
- Pages
  105-140
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540205
[Journal Article] Extrinsic diameter of immersed flat tori in S^32011
- Author(s)
  Y. Kitagawa and M. Umehara
- Journal Title
  
  Geometriae Dedicata
  
  Volume: 155 Pages: 105-140
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540066
[Journal Article] Extrinsic diameter of immersed flat tori in S^32011
- Author(s)
  Y.Kitagawa, M.Umehara
- Journal Title
  
  Geom.Dedicata
  
  Volume: 155 Issue: 1 Pages: 105-140
- DOI
  10.1007/s10711-011-9580-5
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22244006
[Journal Article] 3次元球面内の平坦トーラス2005
- Author(s)
  Y.Kitagawa
- Journal Title
  
  数学(日本数学会) 57
  
  Pages: 164-177
- NAID
  10016419408
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540059
[Journal Article] Flat tori in the 3-sphere2005
- Author(s)
  Y.Kitagawa
- Journal Title
  
  Sugaku Vol.57
  
  Pages: 164-177
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540059
[Journal Article] Flat tori in the 3-dimensional sphere2005
- Author(s)
  Yoshihisa Kitagawa
- Journal Title
  
  Suugaku Vol.57
  
  Pages: 164-177
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540184
[Journal Article] 3次元球面内の平坦トーラス2005
- Author(s)
  北川義久
- Journal Title
  
  数学(日本数学会) Vol.57(2)
  
  Pages: 164-177
- NAID
  10016419408
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540184
[Journal Article] 3次元球面内の平坦トーラス2003
- Author(s)
  北川義久
- Journal Title
  
  数学(日本数学会) 57
  
  Pages: 113-126
- NAID
  10016419408
- Data Source
  KAKENHI-PROJECT-15540059
[Journal Article] Deformable flat tori in $S^3$ with constant mean curvature2003
- Author(s)
  Y.Kitagawa
- Journal Title
  
  Osaka J. Math. 40
  
  Pages: 103-119
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540059
[Journal Article] Deformable flat tori in S^3 with constant mean curvature2003
- Author(s)
  Yoshihisa Kitagawa
- Journal Title
  
  Osaka Jour.Math. 40
  
  Pages: 103-119
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540196
[Journal Article] Deformable flat tori in $S^3$ with constant mean curvature2003
- Author(s)
  Y.Kitagawa
- Journal Title
  
  Osaka J.Math. Vol.40
  
  Pages: 103-119
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540059
[Journal Article] 3次元球面内の平坦トーラス
- Author(s)
  北川義久
- Journal Title
  
  「数学」日本数学会 57・2(掲載予定)
- NAID
  10016419408
- Data Source
  KAKENHI-PROJECT-14540196
[Journal Article] Extrinsic diameter of immersed flat tori in S^3
- Author(s)
  Y.Kitagawa, M.Umehara
- Journal Title
  
  Geometriae Dedicata(現在電子版公開)
  
  Volume: To appear(冊子体)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540066
[Presentation] 3次元球面内の平坦トーラスに関する直径予想2018
- Author(s)
  北川義久
- Organizer
  榎本一之教授退職記念研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-15K04836
[Presentation] ３次元球面内の平坦トーラスに関する直径予想2016
- Author(s)
  北川義久
- Organizer
  直観幾何学 2016
- Place of Presentation
  熊本大学
- Year and Date
  2016-02-07
- Data Source
  KAKENHI-PROJECT-15K04836
[Presentation] 3次元球面内の平坦トーラスに関する未解決問題2015
- Author(s)
  北川義久
- Organizer
  数理科学小研究集会
- Place of Presentation
  福島大学国際交流会館
- Year and Date
  2015-01-31
- Invited
- Data Source
  KAKENHI-PROJECT-24540066
[Presentation] S^3 内の平坦トーラスに関する未解決問題2014
- Author(s)
  北川義久
- Organizer
  研究集会「部分多様体論・湯沢2014」
- Place of Presentation
  越後湯沢町・湯沢グランドホテル
- Year and Date
  2014-11-21
- Invited
- Data Source
  KAKENHI-PROJECT-24540066
[Presentation] ３次元球面内の平坦トーラスに関する直径予想2012
- Author(s)
  北川義久
- Organizer
  RIMS研究集会「部分多様体と四元数構造」
- Place of Presentation
  京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-24540066
[Presentation] Extrinsic diameter of immersed flat tori in the unit 3-sphere2011
- Author(s)
  Y. Kitagawa
- Organizer
  Differential Geometry and Tanaka Theory-Differential System and Hypersurface Theory-
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2011-01-25
- Data Source
  KAKENHI-PROJECT-21540066
[Presentation] Extrinsic diameter of immersed flat tori in the unit 3-sphereSpanish2011
- Author(s)
  北川義久
- Organizer
  Japanese Workshop on Differential Geometry
- Place of Presentation
  Faculty of Sicence, University of Granada
- Year and Date
  2011-02-15
- Data Source
  KAKENHI-PROJECT-21540205
[Presentation] Extrinsic diameter of immersed flat tori in the unit 3-sphere2011
- Author(s)
  Y. Kitagawa
- Organizer
  Spanish-Japanese Workshop on Differential Geometry
- Place of Presentation
  Faculty of Sicence, University of Granada
- Year and Date
  2011-02-15
- Data Source
  KAKENHI-PROJECT-21540066
[Presentation] Extrinsic diameter of immersed flat tori in the unit 3-sphere2011
- Author(s)
  Y.Kitagawa
- Organizer
  Spanish-Japanese Workshop on Differential Geom etry
- Place of Presentation
  Faculty of Science, University of Granada
- Year and Date
  2011-02-15
- Data Source
  KAKENHI-PROJECT-21540066
[Presentation] Extrinsic diameter of immersed flat tori in the unit 3-sphereDifferential Geometry and Tanaka Theory2011
- Author(s)
  北川義久
- Organizer
  Differential System and Hypersurface Theory
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2011-01-25
- Data Source
  KAKENHI-PROJECT-21540205
[Presentation] S^3内の平坦トーラスの直径に関する予想について2010
- Author(s)
  北川義久
- Organizer
  名城大学幾何学研究集会
- Place of Presentation
  名城大学
- Year and Date
  2010-03-10
- Data Source
  KAKENHI-PROJECT-21540066
[Presentation] $S^3$内の平坦トーラスの直径に関する予想について2010
- Author(s)
  北川義久
- Organizer
  名城大学幾何学研究集会
- Place of Presentation
  名城大学(名古屋市)
- Year and Date
  2010-03-10
- Data Source
  KAKENHI-PROJECT-21540066
[Presentation] S^3 内の平坦トーラスの直径に関する予想について2010
- Author(s)
  北川義久
- Organizer
  名城大学幾何学研究集会
- Place of Presentation
  名城大学(名古屋市)
- Year and Date
  2010-03-10
- Data Source
  KAKENHI-PROJECT-21540205
[Presentation] 3次元球面内の平坦トーラスの直径予想と閉曲線対の2重接触問題2008
- Author(s)
  北川義久
- Organizer
  研究集会「接触幾何・特異点論およびその周辺」
- Place of Presentation
  越後湯沢グランドホテル
- Year and Date
  2008-01-24
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540184
[Presentation] A conjecture on the diameter of flat tori in the unit 3-sphere2008
- Author(s)
  Yoshihisa Kitagawa
- Organizer
  Contact Geometry
- Place of Presentation
  Singularity and Related topics
- Year and Date
  2008-01-24
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540184
[Presentation] S^3内の平坦トーラスの幾何学と四元数2007
- Author(s)
  北川義久
- Organizer
  集中セミナー「四元数と部分多様体の幾何学」
- Place of Presentation
  筑波大学
- Year and Date
  2007-11-10
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540184
[Presentation] Geometry of flat tori in the unit 3-sphere and quaternions2007
- Author(s)
  Yoshihihsa Kitagawa
- Organizer
  Quaternions and Geometry of Submanifolds
- Place of Presentation
  Tsukuba Univ
- Year and Date
  2007-11-10
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540184

1. AIHARA Yoshihiro (60175718)

# of Collaborated Projects: 10 results

# of Collaborated Products: 0 results
2. KIMURA Hiroshi (70017953)

# of Collaborated Projects: 9 results

# of Collaborated Products: 0 results
3. OCHIAI Shoji (30031545)

# of Collaborated Projects: 8 results

# of Collaborated Products: 0 results
4. FUJIHIRA Hideyuki (70114171)

# of Collaborated Projects: 8 results

# of Collaborated Products: 0 results
5. KIMURA Shigeru (70007962)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
6. ATSUJI Astushi (00221044)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
7. KAMADA Hiroyuko (00249799)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
8. SHIRASO Takeo (50007960)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
9. MORI Seiki (80004456)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
10. UMEHARA Masaaki (90193945)

# of Collaborated Projects: 3 results

# of Collaborated Products: 2 results
11. SAKAI Kazuhiro (30205702)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
12. EMORI Hideyo (90267526)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
13. 藤崎源二郎 (20012289)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
14. YAMADA Kotaro (10221657)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
15. OHNITA Yoshihiro (90183764)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
16. MIYAOKA Reiko (70108182)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
17. MABUCHI Toshiki (80116102)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
18. MASHIMO Katsuya (50157187)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. HASHIMOTO Hideya (60218419)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. ROSSMAN Wayne (50284485)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. KOISO Norihito (70116028)

# of Collaborated Projects: 1 results

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22. GOTO Ryushi (30252571)

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23. KOKUBU Masatoshi (50287439)

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24. FUJIMORI Syoichi (00452706)

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25. SAJI Kentaro (70451432)

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26. IZUMIYA Shyuichi (80127422)

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27. ISHIKAWA Goo (50176161)

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28. KAWAKAMI Yu (60532356)

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29. AGAOKA Yoshio (50192894)

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30. OGIUE Koichi (10087025)

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31. KOISO Miyuki (10178189)

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32. MAEDA Sadahiro (40181581)

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33. HAMADA Tatsuyoshi (90299537)

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34. HOSAKA Tetsuya (50344908)

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35. MORIMOTO Akira (60289791)

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36. INOGUCHI Jun-ichi (40309886)

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37. 越昭三 (40032792)

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38. 神島芳宣 (10125304)

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39. 剱持勝衛 (60004404)

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KITAGAWA Yoshihisa 北川 義久

北川 義久 キタカ゛ワ ヨシヒサ

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Studies on diameter conjecture on flat tori in the unit spherePrincipal Investigator

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Studies on some open problems concerning flat tori in odd dimensional spheresPrincipal Investigator

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Studies on some open problems concerning flat tori in the unit 3-spherePrincipal Investigator

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Geometry of the flat tori in the sphere and non- linear wave equationsPrincipal Investigator

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Geometry of the flat tori in the 3-sphere and its higher dimensional generalizationPrincipal Investigator

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KITAGAWA Yoshihisa 北川義久

北川義久キタカ゛ワヨシヒサ