TANAKA Minoru 田中實

… Alternative Names

Researcher Number	10112773
Affiliation (based on the past Project Information) *help	1994 – 2008: 東海大学, 理学部, 教授 1993: 東海大学, 理学部・数学科, 教授 1991: 東海大学, 理学部, 教授 1989 – 1990: 東海大学, 理学部, 助教授
Review Section/Research Field	Principal Investigator Geometry / 代数学・幾何学 Except Principal Investigator Algebra / Global analysis / 解析学 / Geometry / 代数学・幾何学 / General mathematics (including Probability theory/Statistical mathematics) / Global analysis / Geometry
Keywords	Principal Investigator 測地線 / 回転面 / 最小跡 / ハウスドルフ次元 / エントロピー次元 / geodesic / fractal set / Hausdorff dimension / マンゴルトの回転面 / 極 … More Except Principal Investigator 波動方程式 / 周期解 / 最小跡 / cut locus / モジュラー曲線 / 保型形式 / p-進ホッジ構造 / 距離関数 / 概周期解 / suspended string / 測地線 / periodic solution / Diophantine近似 / 連分数 / フラクタル / 代数曲線 / エタール・コホモロジー群 / リーマン多様体 / Diophantine条件 / distance function / 弦の振動 / 準周期解 / Reduction Theorem / 回転指数 / Diophantine inequality / quasiperiodic solution / nonlinear wave equation / almost periodic solution / Suspended string equation / damped wave equation / 有理特異点 / Frobenius写像 / 特異点の解消 / Fーregular ring / Fーrational ring / Fーpure ring / regulan ring / graded ring / 無限次元力学系 / 発展方程式 / 非有界な解 / カオス / 力学系 / 2変数チェビシェフ多項式 / 倍角写像 / CM-体 / 総実代数体 / 相対類数 / 岩澤不変量 / 木田公式 / 一般ヤコビ多様体 / p-進エタール・コホモロジー / 岩澤主予想 / リーマン計量 / ハウスドルフ次元 / ハウスドルフ速度 / 有界変動 / 双曲型方程式 / Diophantine 条件 / nonlinear equation / initial-boundary value problem / global solution / periodic solutions / suspended string equation / 初期値境界値問題 / 大域解 / 強解 / 古典解 / ハウスドルク測度 / Lipschitz性 / ボロノイ領域 / 凸多面体 / ハウスドルフ測度 / lipsehitz性 / Riemannian manifold / Hausdorff measure / Lipschitz continuous / Voronoi domain / geodesics / polytope / 非柱状領域 / 周期境界条件 / ディオフォントス不等式 / ディオファントス近似不等式 / リサージュ境界条件 / 円形膜の振動 / 弦の挙動 / 準同期解 / 一次元波動方程式 / Lissajous境界条件 / Vibration of string / wave equation / noncylindrical domain / periodic boundary condition / reduction theorem / rotation number / 時間周期的非柱状領域 / 時間準周期的非柱状領域 / 非線型波動方程式 / 線形波動方程式 / 吊り下げられた弦 / Siegel条件 / 弱Poincare条件 / 境界値問題 / 時間周期解 / ディオファントス不等式 / ベッセル関数の零点 / 一次元力学系 / 球対称ラプラシアン / time-periodic noncylindrical domain / time-quasiperiodic noncylindrical domain / linear wave equation / 非線形波動方程式 / Klein-Gordon方程式 / カスプ / Diophantine不等式 / 重い振動弦の方程式 / 重みをもつSobolev型空間 / Schauderの不動点定理 / 自由振動 / Diophantine Condition / Suspended String / 球対称領域 / Bassel 関数 / 吊り下げられた弦の方程式 / Klein-Gordon equation / Diophantine approximation / cusp / 消散型波動方程式 / 奇関数問題 / 漸近挙動 / 境界変動問題 / 吊り下げられた紐の方程式 / Toponogovの比較定理 / 準楕円性 / 消散項を有する波動方程式 / 臨界指数 / 時間大域解 / Topongovの比較定理 / 準楕円型偏微分作用素 / L^p-L^q estimates / Wave equation / time-dependent dissipation / L^p-estimates / local energy decay / scattering theory / energy nondecay / odd data problem / asymptotic behavior / oscillating boundary / Tononogov's theorem / hypoellipticity / 第1共役跡 / Liouville多様体 / 二次曲面 / 最遠点 / 多面体の展開 / Liouvolle曲面 / 単純閉擬測地線 / 多面体の展閲 / Liouville曲面 / モース理論 / geodesies / 1'st conjugate locus / Liouville manifold / guadric surface / farthest point / unfolding of polyhedron Less

Almost periodic oscillations of linear and nonlinear hyperbolic equations
- Principal Investigator
  
  YAMAGUCHI Masaru
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Tokai University
Comprehensive studies of cut locus
- Principal Investigator
  
  ITOH Jin-ichi
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kumamoto University
Study of asymptotic behaviors to wave equations
- Principal Investigator
  
  NARAZAKI Takashi, 松山登喜夫
- Project Period (FY)
  2004 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Tokai University
The global behavior of solutions of evolution equations in noncylindrical domain with time-moving boundaries
- Principal Investigator
  
  YAMAGUCHI Masaru
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Tokai University
The research of the behavior of geodesicsPrincipal Investigator
- Principal Investigator
  
  TANAKA Minoru
- Project Period (FY)
  2002 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tokai University
Research on the Behavior of Solutions Evolution Equations in Time-Almost Periodic Noncylindrical Domains
- Principal Investigator
  
  YAMAGUCHI Masaru
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  TOKAI UNIVERSITY
The theoretical approach of the behaviors of geodesicsPrincipal Investigator
- Principal Investigator
  
  TANKAA Minoru
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tokai University
The structure of cut locus and global Riemannian geometry
- Principal Investigator
  
  ITOH Jin-ichi
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Kumamoto University
Behavior of solutions of IBVP witrh periodically moving boundary conditions of evolution equations
- Principal Investigator
  
  YAMAGUCHI Masaru
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tokai University
p-進Eiserstein cohomology類の研究
- Principal Investigator
  
  太田雅己
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokai University
最小跡の構造とリーマン計量
- Principal Investigator
  
  ITOH Jin-ichi
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kumamoto University
代数曲線の塔に付随するコホモロジー群と保型形式
- Principal Investigator
  
  太田雅己
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokai University
代数曲線の塔に付随するコホモロジー群と保型形式
- Principal Investigator
  
  太田雅己
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokai University
岩澤理論に関連した代数体の研究
- Principal Investigator
  
  堀江邦明
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokai University
2変数チェビシェフ多項式に付随する力学系
- Principal Investigator
  
  内村桂輔
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Tokai University
非線型発展方程式と無限次元力学系の研究
- Principal Investigator
  
  山口勝
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tokai University
有理特異点とFrobenius写像の作用
- Principal Investigator
  
  渡辺敬一
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Tokai University
極の存在についての研究Principal Investigator
- Principal Investigator
  
  田中實
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Tokai University

All 2008 2007 2006 2005 2004 Other

All Journal Article Presentation

[Journal Article] The cut locus of a two-sphere of revolution and Toponogov's comparison theorem2007
- Author(s)
  R. Sinclair, M. Tanaka
- Journal Title
  
  Tohoku Math.J. 59
  
  Pages: 379-399
- NAID
  110006389126
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540085
[Journal Article] (with Sinclair,Robert)The cut locus of a two-shere of revolutions and Toponogov's comparison theorem2007
- Author(s)
  田中實(Minoru Tanaka)
- Journal Title
  
  Tohoku Math. J. 59
- Data Source
  KAKENHI-PROJECT-18540220
[Journal Article] The cut locus of a two-sphere of revolution and Toponogov's comparison theorem2007
- Author(s)
  M.Tanaka(with R.Sinclair)
- Journal Title
  
  Tohoku Math.J.(2) 59
  
  Pages: 379-399
- NAID
  110006389126
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16540205
[Journal Article] The cut locus of a two-sphere of revolution and Toponogov's comparison theorem2007
- Author(s)
  Minoru Tanaka and Robert Sinclair
- Journal Title
  
  Tohoku Mathematical Journal 59
  
  Pages: 379-399
- NAID
  110006389126
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16540205
[Journal Article] The cut locus of a two-sphere of revolution and Toponogov's comparison theorem2007
- Author(s)
  R.Sinclair & M, Tanaka
- Journal Title
  
  Tohoku Math.J. 59
  
  Pages: 379-399
- NAID
  110006389126
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540085
[Journal Article] The cut locus of a two-sphere of revolution and Toponogov's comparison theorem2007
- Author(s)
  R., Sinclair, M., Tanaka
- Journal Title
  
  Tohoku Math. J. (2)59
  
  Pages: 379-399
- NAID
  110006389126
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540085
[Journal Article] The cut locus of a two-sphere of revolution and lbponogov's comparison theorem2007
- Author(s)
  M, Tanaka, R, Sinclair
- Journal Title
  
  Tohoku Math. J.(2) 59-3
  
  Pages: 379-399
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540205
[Journal Article] A bound of the number of endpoints of the cut locus2006
- Author(s)
  M.Tanaka
- Journal Title
  
  LMS Journal of Computation and Mathematics vol 9
  
  Pages: 21-39
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540091
[Journal Article] Jacobi's last geometric statement extends to a wider class of Liouville surfaces2006
- Author(s)
  Sinclair, R., Tanaka, M.
- Journal Title
  
  Math.Comp.(electronic) 75
  
  Pages: 1779-1808
- Data Source
  KAKENHI-PROJECT-17540085
[Journal Article] Jacobi's last geometric statement extends to a wider class of Liouville surfaces2006
- Author(s)
  M.Tanaka
- Journal Title
  
  Mathematics of Computation 75/256
  
  Pages: 1779-1808
- Data Source
  KAKENHI-PROJECT-18540220
[Journal Article] A bounds on the number of the cut locus2006
- Author(s)
  M.Tanaka(with R.Sinclair)
- Journal Title
  
  LMS J.Comput.Math. 9
  
  Pages: 21-39
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16540205
[Journal Article] (with Sinclair,Robert)Jacobi's last geometric statement extends to a wider class of Liouville surfaces2006
- Author(s)
  田中實(Minoru Tanaka)
- Journal Title
  
  Math. Computation 75
  
  Pages: 1779-1808
- Data Source
  KAKENHI-PROJECT-18540220
[Journal Article] A bound on the number of endpoints of the cut locus2006
- Author(s)
  R. Sinclair, M. Tanaka
- Journal Title
  
  LMS J.Comput.Math. 9
  
  Pages: 21-39
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540085
[Journal Article] Jacobi's last geometric statement extends to a wider class of Liouville surfaces2006
- Author(s)
  R., Sinclair, M., Tanaka
- Journal Title
  
  Math. Comp 75
  
  Pages: 1779-1808
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540085
[Journal Article] Jacobi's last geometric statement extends to a wider class of Liouville surface2006
- Author(s)
  M, Tanaka, R, Sinclair
- Journal Title
  
  Math. Comp 75-256
  
  Pages: 1779-1808
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540205
[Journal Article] Jacobi's last geometric statement extends to a wider class of Liouville surface2006
- Author(s)
  M.Tanaka(with R.Sinclair)
- Journal Title
  
  Math.Comp. 75
  
  Pages: 1779-1808
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16540205
[Journal Article] Jacobi's last geometric statement extends to wider class of Liouville surfaces2006
- Author(s)
  R. Sinclair, M. Tanaka
- Journal Title
  
  Math.Comp. 75
  
  Pages: 1779-1808
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540085
[Journal Article] A bounds on the number of endpoints of the cut locus2006
- Author(s)
  田中寛, Robert Sinclair
- Journal Title
  
  LMS Journal of Computation and Mathematics 9・1
  
  Pages: 21-39
- Data Source
  KAKENHI-PROJECT-16540205
[Journal Article] A bound on the number of end points of the cut locus2006
- Author(s)
  R., Sinclair, M., Tanaka
- Journal Title
  
  LMS J. Comput. Math. 9
  
  Pages: 21-39
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540085
[Journal Article] A bounds on the number of the cut locus2006
- Author(s)
  M, Tanaka, R, Sinclair
- Journal Title
  
  LMS J. Comput. Math 9
  
  Pages: 21-39
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540205
[Journal Article] A bound on the number of endpoints of the cut locus2006
- Author(s)
  M.Tanaka
- Journal Title
  
  LMS Journal of Computation and Mathematics Vol.9
  
  Pages: 21-39
- Data Source
  KAKENHI-PROJECT-15540213
[Journal Article] A bound of the number of endpoints of the cut locus2006
- Author(s)
  M.Tanaka
- Journal Title
  
  LMS Journal of Computation and Mathematics 9巻
  
  Pages: 21-39
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540091
[Journal Article] A bound of the number of endpoints of the cut locus2006
- Author(s)
  M.Tanaka
- Journal Title
  
  LMS Journal of Computation and Mathematics 9巻・1号
  
  Pages: 21-39
- Data Source
  KAKENHI-PROJECT-16540205
[Journal Article] Jacobi's last geometric statement extends to a wider class of Liouville surfaces2006
- Author(s)
  田中寛, Robert Sinclair
- Journal Title
  
  Mathematics of Computation 75・256
  
  Pages: 1779-1808
- Data Source
  KAKENHI-PROJECT-16540205
[Journal Article] The cut locus of a torus of revolution2005
- Author(s)
  M.Tanaka
- Journal Title
  
  Asian Journal of Mathematics vol 9-1
  
  Pages: 103-120
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540091
[Journal Article] The cut locus of a torus of revolution2005
- Author(s)
  J. Gravesen, S. Markvorsen, R. Sinclair, M. Tanaka
- Journal Title
  
  Asian J.Math. 9
  
  Pages: 103-120
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540085
[Journal Article] The cut loci of an torus of revolution2005
- Author(s)
  M.Tanaka
- Journal Title
  
  Asian Journal of Mathematics Vol.9, NO.1
  
  Pages: 103-120
- Data Source
  KAKENHI-PROJECT-15540213
[Journal Article] The cut locus of a torus of revolution2005
- Author(s)
  J., Gravesen, S., Markvorsen, R., Sinclair, M., Tanaka
- Journal Title
  
  Asian J. Math. 9
  
  Pages: 103-120
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540085
[Journal Article] The cut locus of a torus of revolution2005
- Author(s)
  M.Tanaka(with J.Graveson, S.Markvorsen and R.Sinclair)
- Journal Title
  
  Asian J.Math. 9
  
  Pages: 103-120
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16540205
[Journal Article] The cut locus of a torus of revolution2005
- Author(s)
  M.Tanaka
- Journal Title
  
  Asian Journal of Mathematics 9巻・1号
  
  Pages: 103-120
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540091
[Journal Article] S. Markvorsen and R. Sinclair, The cut locus of a torus of revolution2005
- Author(s)
  M, Tanaka, J, Graveson
- Journal Title
  
  Asian J. Math 9-1
  
  Pages: 103-120
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540205
[Journal Article] The cut locus of a torus of revolution2005
- Author(s)
  M.Tanaka
- Journal Title
  
  Asian Journal of Mathematics 9巻・1号
  
  Pages: 103-120
- Data Source
  KAKENHI-PROJECT-16540205
[Journal Article] Scattering states for the nonlinear wave equation with small data2004
- Author(s)
  T.Matsuyama, M.Tanaka
- Journal Title
  
  Advances in Differential Equations 9・7-8
  
  Pages: 721-744
- Data Source
  KAKENHI-PROJECT-14540091
[Journal Article] Scattering states for the nonlinear wave equation with small initial data.2004
- Author(s)
  T, Matsuyama, M., Tanaka
- Journal Title
  
  Adv. Differential Equations, 9 7-8
  
  Pages: 392-412
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540205
[Journal Article] Scattering states for the nonlinear wave equation with small data2004
- Author(s)
  T.Matsuyama, M.Tanaka
- Journal Title
  
  Advances in Differential Equations 9・7-8
  
  Pages: 721-744
- Data Source
  KAKENHI-PROJECT-16540205
[Journal Article] Scattering states for the nonlinear wave equation with small data2004
- Author(s)
  T.Matsuyama, M.Tanaka
- Journal Title
  
  Advances in Differential Equations 9
  
  Pages: 721-744
- Data Source
  KAKENHI-PROJECT-15540213
[Journal Article] Scattering states for the nonlinear wave equation with small initial data2004
- Author(s)
  T.Matsuyama and M.Tanaka
- Journal Title
  
  Adv.Differential Equations 9
  
  Pages: 393-412
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16540205
[Journal Article] Jacobi's last geometric statement extends to a wider class of Liouville surfaces
- Author(s)
  M.Tanaka
- Journal Title
  
  To appear in Mathematics of Computation
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540091
[Journal Article] Jacobi's last geometric statement extends to a wider class of Liouville surfaces
- Author(s)
  M.Tanaka
- Journal Title
  
  Mathematics of Computation (印刷中)
- Data Source
  KAKENHI-PROJECT-15540213
[Journal Article] Jacobi' s last geometric statement extends to a wider class of Liouville surfaces
- Author(s)
  M.Tanaka
- Journal Title
  
  Mathematics of Computation (印刷中)
- Data Source
  KAKENHI-PROJECT-16540205
[Journal Article] The cut locus of a torus of revolution
- Author(s)
  J.Gravesen, S.Markvorsen, R.Sinclair, M.Tanaka
- Journal Title
  
  The Asian Journal of Mathematics (発表予定)
- Data Source
  KAKENHI-PROJECT-14540091
[Journal Article] Jacobi's last geometric statement extends to a wider class of Liouville surfaces
- Author(s)
  M.Tanaka
- Journal Title
  
  Mathematics of Computation (印刷中)
- Data Source
  KAKENHI-PROJECT-14540091
[Journal Article] Jacobi's last geometric statement extends to a wider class of Liouville surfaces
- Author(s)
  M.Tanaka
- Journal Title
  
  Mathematics of Computation 発表予定
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540091
[Presentation] Total curvatures of model surfaces control topology of complete open manifolds with radical curvature bounded below2008
- Author(s)
  M, Tanaka
- Organizer
  Proceedings of KMITL International Conference on Science and Applied Science
- Place of Presentation
  King Mongkut's Institute of Technology Ladkrabang(KMITL), Thailand
- Year and Date
  2008-03-20
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540205
[Presentation] Total curvatures of model surfaces control topology of complete open manifolds with radical curvature bounded below2008
- Author(s)
  田中實
- Organizer
  Proceedings of KMITL International Conference on Science and Applied Science
- Place of Presentation
  モンクット王工科大学(タイ)
- Year and Date
  2008-03-20
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540205
[Presentation] 全曲率,放射曲率,ミルナー予想2007
- Author(s)
  田中實, 近藤慶
- Organizer
  日本数学会年会
- Place of Presentation
  埼玉大学
- Year and Date
  2007-03-27
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540205
[Presentation] Total curvatures, radial curvature and Milnor conjecture2007
- Author(s)
  M, Tanaka(K, Kondo)
- Organizer
  Mathematical Society of Japan 2007 Annual Meeting
- Place of Presentation
  Saitama University
- Year and Date
  2007-03-27
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540205
[Presentation] Cut locus and Toponogov' comparison theorem2006
- Author(s)
  M, Tanaka
- Organizer
  Kyushu Geometry Seminar
- Place of Presentation
  Kyushu University
- Year and Date
  2006-06-02
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540205
[Presentation] 最小跡とToponogovの比較定理2006
- Author(s)
  田中實
- Organizer
  九州幾何セミナー
- Place of Presentation
  九州大学
- Year and Date
  2006-06-02
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540205
[Presentation] A generalized Toponogov comparison theorem2006
- Author(s)
  M, Tanaka
- Organizer
  Proceedings of KMITL International Conference on Science and Applied Science
- Place of Presentation
  King Mongkut's Institute of Technology Ladkrabang(KMITL), Thailand
- Year and Date
  2006-03-10
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540205
[Presentation] A generalized Toponogov comparison theorem2006
- Author(s)
  田中實
- Organizer
  Proceedings of KMITL International Conference on Science and Applied Science
- Place of Presentation
  モンクット王工科大学(タイ)
- Year and Date
  2006-03-10
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540205
[Presentation] On cut locus on sphere and conjugate locus2005
- Author(s)
  M, Tanaka
- Organizer
  Symposium on geodesics and related topics
- Place of Presentation
  Kumamoto University
- Year and Date
  2005-06-08
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540205
[Presentation] 比較定理と最小跡2005
- Author(s)
  田中實
- Organizer
  佐賀大学微分幾何学研究集会
- Place of Presentation
  佐賀大学
- Year and Date
  2005-12-17
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540205
[Presentation] Comparison theorem and cut locus2005
- Author(s)
  M, Tanaka
- Organizer
  Symposium on Differential Geometry at Saga University
- Place of Presentation
  Saga University
- Year and Date
  2005-12-17
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540205
[Presentation] 球面のCut LocusとConjugate Locusの関係について2005
- Author(s)
  田中實
- Organizer
  「測地線及び関連する諸問題」研究集会
- Place of Presentation
  熊本大学
- Year and Date
  2005-01-08
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540205

1. YAMAGUCHI Masaru (10056252)

# of Collaborated Projects: 11 results

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2. SUGITA Kimio (60056083)

# of Collaborated Projects: 6 results

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3. NARAZAKI Takashi (70119692)

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4. AKAMATSU Toyohiro (00112772)

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5. ITOH Tatuo (20151516)

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6. MATSUYAMA Tokio (70249712)

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7. ITOH Jin-ichi (20193493)

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8. HIRAMINE Yutaka (30116173)

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9. 永瀬輝男 (90164425)

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10. 太田雅己 (40025490)

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11. 土井誠 (20049729)

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12. 堀江邦明 (20201759)

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13. 草場公邦 (20087076)

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14. KANEMARU Tadayoshi (30040033)

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15. NOGUCHI Mitsunori (00208331)

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16. 土屋守正 (00188583)

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17. 内村桂輔 (20092835)

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18. SUGAHARA Kunio (20093255)

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19. KUWAE Kazuhito (80243814)

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20. SAKAI Takashi (70005809)

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21. KIYOHARA Eazuhiro (80153245)

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22. 大谷光春 (30119656)

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23. 渡辺敬一 (10087083)

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24. 成嶋弘 (90056200)

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25. 氏家勝巳 (50055852)

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26. 山本信也 (20145402)

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TANAKA Minoru 田中 實

TANAKA Mimoru 田中 実

田中 實 タナカ ミノル

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The research of the behavior of geodesicsPrincipal Investigator

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The theoretical approach of the behaviors of geodesicsPrincipal Investigator

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TANAKA Minoru 田中實

TANAKA Mimoru 田中実

田中實タナカミノル