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GEOMETRY OF MANIFOLDS AND RELATED SUBJECTS

Research Project

Project/Area Number 03302002
Research Category

Grant-in-Aid for Co-operative Research (A)

Allocation TypeSingle-year Grants
Research Field 代数学・幾何学
Research InstitutionNIIGATA UNIVERSITY

Principal Investigator

SEKIGAWA Kouei  Niigata University, Mathematics, Professor, 理学部, 教授 (60018661)

Co-Investigator(Kenkyū-buntansha) OHMORI Hideki  Tokyo Science University, Mathematics, Professor, 理工学部, 教授 (20087018)
SAKANE Yuusuke  Osaka University, Mathematics, Associate Professor, 理学部, 助教授 (00089872)
SHIOHAMA Katsuhiro  Kyushu University, Mathematics, Professor, 理学部, 教授 (20016059)
NISHIKAWA Seiki  Tohoku University, Mathematics, Professor, 理学部, 教授 (60004488)
SUNADA Toshikazu  University of Tokyo, Mathematical Sciences, Professor, 数理科学研究科, 教授 (20022741)
佐藤 肇  名古屋大学, 教養部, 教授 (30011612)
Project Period (FY) 1991 – 1992
Project Status Completed (Fiscal Year 1992)
Budget Amount *help
¥17,900,000 (Direct Cost: ¥17,900,000)
Fiscal Year 1992: ¥10,300,000 (Direct Cost: ¥10,300,000)
Fiscal Year 1991: ¥7,600,000 (Direct Cost: ¥7,600,000)
KeywordsRiemannian manifold / Harmonic mapping / Spectrum / Mean curvature / Einstein metric / Gauge theory / Kaehler manifold / Hamiltonian / リ-マン多様体 / 交叉コホモロジ- / 球面定理 / スベクトラム / ゲ-ジ理論 / 量子力学
Research Abstract

Geometry of manifolds is deeply concerned with many fields of mathematics and furthermore, mathematical physics, technology, information theory, and so on. So, we aim at studying the problems in geometry of manifolds from various view points. In order to achieve our aim, we set the following six research projects, (1) Global analysis, (2) Riemannian geometry, (3) Submanifold theory and Tensor geometry, (4) Geometric structures on manifolds, (5) Complex geometry, (6) Dynamics and dynamical systems on manifolds. We proceeded our research plan by exchanging the progresses in each project to m each other. We here write down some results obtained in our research program. In(1), there are shown some important results concerning the existence and stability of harmonic mappings between noncompact Riemannian manifolds and also obtained concrete construction of harmonic mappings by making use of twistor method. There are some remarkable progresses in the study about topology of 3-and 4-dimensional manifolds by making use of Gauge theory. In (2), there are some progresses in the study of the topics concerning Gromov convergence theorem and also on the structures of noncompact Riemannian manifolds by making use of the geometry of their ideal boundaries. In (3), surfaces with constant mean curvature in a 3-dimensional Euclidean spacer Hyperbolic space are extensively studied. In (4), there is a new trial in the study of geometric treatment of differential equations on manifolds. In (5), there are some progresses in the study concerning the existence and construction of Kaehler-Einstein structures. For example, a counter example to a Yau's conjecture on topological type of Ricci-flat Kaehler manifolds. In (6), for example, a generalization of a theorem by Lioville-Arnold in Hamilton mechanics has been shown. Furthermore, there is a remarkable progress in the study of Statistics from Dynamical view points.

Report

(3 results)
  • 1992 Annual Research Report   Final Research Report Summary
  • 1991 Annual Research Report
  • Research Products

    (125 results)

All Other

All Publications (125 results)

  • [Publications] 河口 知商: "数理情報辞典,フィッシャーの情報量について" 朝倉書店, (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] 大森 英樹: "一般力学系と場の幾何学" 裳華房, 317 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] 酒井 隆: "リーマン幾何学(数学選書11)" 裳華房, 421 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] 坂根 由昌: "Complex Geometry" Proceedings of the Osaka International conference,Marcel Dekker, 240 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] 竹内 勝: "Lie Groups I" Amer.Math.Soc., 112 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] 竹内 勝: "Lie Groups II" Amer.Math.Soc., 147 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1992 Final Research Report Summary
  • [Publications] 文部 孝順: "On closed regular curves in Riemannian manifolds" Nihonkai Math.J.2. 47-61 (1991)

    • Related Report
      1992 Annual Research Report
  • [Publications] 阿部 孝順: "On closed regular curves and fundamental from on the projective spaces" Proc.Japan Acad.68. 123-125 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 阿部 直人: "Multi-curvature forms and their apolications to dual connections" SUT Journal of Math. 27. 229-235 (1991)

    • Related Report
      1992 Annual Research Report
  • [Publications] 足立 俊明: "Spherical mean and the fundamental group" Canad.Math.Bull.34. 3-11 (1991)

    • Related Report
      1992 Annual Research Report
  • [Publications] 足立 俊明: "The Euclidean factor a Hadamard manifold" Proc.AMS. 113. 209-213 (1991)

    • Related Report
      1992 Annual Research Report
  • [Publications] 阿賀岡 芳夫: "Generalized Gauss equations" Hokkaido Math.J.20. 1-44 (1991)

    • Related Report
      1992 Annual Research Report
  • [Publications] 愛甲 正: "On complex Finsler manifolds" Rep.Fac.Sci.Kagoshoma Univ.24. 9-25 (1991)

    • Related Report
      1992 Annual Research Report
  • [Publications] 相山 玲子: "On complete speace-like surfaces with constant mean curvature in a Lorentzian 3-space Form" Tsukuba J.Math.15. 235-247 (1991)

    • Related Report
      1992 Annual Research Report
  • [Publications] 赤堀 隆夫: "On the Romanov kernel and Kuranishi's L_2 estimate For ∂_b over a ball in the strongly pseudo convex boundary" Pacific J.Math.149. 1-12 (1991)

    • Related Report
      1992 Annual Research Report
  • [Publications] 赤堀 隆夫: "On the construction of the moduli space for strongly pseudoconvex domains" Proc.Symposia in Pure Math.52. 53-58 (1991)

    • Related Report
      1992 Annual Research Report
  • [Publications] 赤堀 隆夫: "A criterion for versality of deformations of tubular neighborhborhoods of strongly pseudo convex boundaries" Can.J.Math.44. 1-9 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 明山 浩: "Stochastic flows of automorphisms of G-structures of degree r" Proc.Japan Acad.67. 45-48 (1991)

    • Related Report
      1992 Annual Research Report
  • [Publications] 厚山 健次: "Projective spaces in a wider sense,I" Kodai Math.J.15. 324-340 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 厚山 健次: "Simple Lie algebras and projective planes in a wider sense" “Non associative algevras and related topics". 9-18 (1991)

    • Related Report
      1992 Annual Research Report
  • [Publications] 坂東 重稔: "Removable singularities for holomorphic vector bundles" Tohoku Math.J.43. 61-67 (1991)

    • Related Report
      1992 Annual Research Report
  • [Publications] 江口 正晃: "The explicit representation of the determinant of Harish-Chandra's C function in SL(3,R)and SL(4,R) cases" Hiroshima Math.J.22. 57-93 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 江口 正晃: "An explicit expression of the HarisH-Chandra C-fandre C-function of SU(n,1) associated to the Ad(K) representation" Proc.Japan Acad.68. 232-236 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 江口 真透: "A geometric look at nuisance parameter effect of local powers in testing hypothesis" Ann.Inst.Statist.Math.43. 245-260 (1991)

    • Related Report
      1992 Annual Research Report
  • [Publications] 江口 真透: "The Projection method for accelerated life test model in bivariate exponential distributions" Mem.Fac.Sci.Shimane Univ.25. 15-19 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 江口 真澄: "Geomety of minimum contrast" In press in Hiroshima Math.J.22. 631-647 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 江尻 典雄: "Two applications of the unit normal bundle of a minimal surface in R^N" Pacific J.Math.147. 291-300 (1991)

    • Related Report
      1992 Annual Research Report
  • [Publications] 江尻 典雄: "Minimal surfaces in S^<2m>(1) with extra eigenfunctions" Quart.J.Math.Oxford. 43. 421-440 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 榎本 一之: "Compactification of asymptitically umbilical hypersurfaces in hyperbolic space" Mem.Fac.Sci,Kyushu Univ.,Ser.A. 46. 57-68 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 藤本 坦孝: "Modified defect relations for the Gauss map of minimal surfaces,III" Nagoya Math.Journal. 124. 13-40 (1991)

    • Related Report
      1992 Annual Research Report
  • [Publications] 藤本 坦孝: "On the Gauss curvature of minimal surfaces" J.Math.Soc.Japan. 44. 427-439 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 深谷 賢治: "Nilpotent structure and invariant metrics on Collapsed manifolds" Journal of AMS.5. 327-372 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 深谷 賢治: "Almost nonpositively curved manifolds" J.Differential Geometry. 33. 69-90 (1991)

    • Related Report
      1992 Annual Research Report
  • [Publications] 二木 昭人: "A Lie algebra character and Kahler-Einstein metrics of positive scalar curvature" Proc.Symp.Pure Math.52. 209-215 (1991)

    • Related Report
      1992 Annual Research Report
  • [Publications] 二木 昭人: "ケーラー多様体と積分不変量" 数学. 44. 44-56 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 木村 真琴: "On real hypersurfaces of a complex projective space II" Tsukuba.Math.15. 547-561 (1991)

    • Related Report
      1992 Annual Research Report
  • [Publications] 清原 一吉: "Compact Liouville surfaces" J.Math.Soc.Japan. 43. 555-591 (1991)

    • Related Report
      1992 Annual Research Report
  • [Publications] 小林 亮一: "Holomorphic curves into algebraic subvarieties in an Abelian variety" International Journal of Math.2. 711-724 (1991)

    • Related Report
      1992 Annual Research Report
  • [Publications] 古田 高士: "Geometry of SU(2)×SU(2)×U(1)/U(1)×U(1)" Math.J.Toyama University. 14. 193-207 (1991)

    • Related Report
      1992 Annual Research Report
  • [Publications] 小池 直之: "Foliations on a Riemannian manifold and Ehresmann connections" Indiana Univ.Math.J.40. 277-292 (1991)

    • Related Report
      1992 Annual Research Report
  • [Publications] 小磯 憲史: "Motion of a springy circle wire" Sci.Rep.Col.Gen.Educ.Osaka Univ.40. 15-19 (1991)

    • Related Report
      1992 Annual Research Report
  • [Publications] 小磯 憲史: "Elasticae in Riemannian submanifold" Osaka J.Math.20. 643-649 (1991)

    • Related Report
      1992 Annual Research Report
  • [Publications] 桑原 類史: "A note on the deformations of Hamiltonian systems on nilmanifolds" J.Math.Tokushima Univ.26. 19-29 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 満渕 俊樹: "Stabiluty and Einstein-Kahler metric of a quartic del Pezzo surface" “Einstein metrics and Yang-Mills connections"Lecture notes in Pure and Appl.Math.133-160 (1993)

    • Related Report
      1992 Annual Research Report
  • [Publications] 前田 正男: "The classification of compact surfaces by using Berger's lemma" Mem.Fac.Sei.Kyushu Univ.,Ser.A. 46. 201-215 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 前田 正男: "Compact surfaces of type 2" Sei.Rep.Yokohama Nat.Univ.Sec.I. 39. 13-16 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 前田 定広: "On real of a complex projective space II" Tsukiba J.Math. 15. 547-561 (1991)

    • Related Report
      1992 Annual Research Report
  • [Publications] 前田 吉郎: "Weyl manifold and deformation quantization" Advance in Mathematics. 85. 224-255 (1991)

    • Related Report
      1992 Annual Research Report
  • [Publications] 前田 吉昭: "Global calculus on Weyl manifolds" Japan Journal of Math.17. 57-82 (1991)

    • Related Report
      1992 Annual Research Report
  • [Publications] 前田 吉昭: "Deformation quantization of Posson algebras" Proceedings of Japan Academy. 68. 97-100 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 間下 克哉: "On the stability of Cartan embedings of compact symmetric spaces" Arch.Math.58. 500-508 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 松田 博男: "Homogeneous Lorentz manifolds with isotropy subgroup U(2) or SO(2)" Tsukuba J.Math.16. 257-267 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 松本 紘司: "A certain symmetric F-connection in locally conformal Kahler space form" Bull.of Yamagata Univ.(Nat.Sci). 13. 1-11 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 松本 誠: "A left transformation preserving a Finsler connection invariant" Publ.Math.,Debrecen. 38. 77-82 (1991)

    • Related Report
      1992 Annual Research Report
  • [Publications] 松本 誠: "On integral manifolds of an integrable nonliner connection form the stand-point of the theory of Finsler connections" J.Math.Kyoto Univ.31. 835-843 (1991)

    • Related Report
      1992 Annual Research Report
  • [Publications] 松本 誠: "Projectively flat Finslr spaces with (α,β)-metric" Reports on Math.Phys.30. 15-20 (1991)

    • Related Report
      1992 Annual Research Report
  • [Publications] 松本 誠: "Finsler space of constant curvature with Kropina metric" Tensor,N.S.50. 194-201 (1991)

    • Related Report
      1992 Annual Research Report
  • [Publications] 後藤 亨: "On some differential geometric geometric characterizations of the center of a Lie group" Tokyo Journal of Math.14. 305-308 (1991)

    • Related Report
      1992 Annual Research Report
  • [Publications] 後藤 亨: "A remark on foliations on a complex projective space with complex leaves" Tsukuba Journal of Math.16. 169-172 (1992)

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      1992 Annual Research Report
  • [Publications] 長谷川 和泉: "Cyclic parallel hypersurfaces in a Sasakian space form" J.Hokkaido Univ.Ed.(Sect.IIA). 41. 1-15 (1991)

    • Related Report
      1992 Annual Research Report
  • [Publications] 橋口 正夫: "On the Gaussian curvature of the indicatrix of a Lagrangian" Rep.Fac.Sci.Kagoshima Univ.24. 33-41 (1991)

    • Related Report
      1992 Annual Research Report
  • [Publications] 橋本 英哉: "Oriented 5-dimensional submanifolds in the purely imaginary octonians" J.Korean Math.Soc.128. 167-182 (1991)

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      1992 Annual Research Report
  • [Publications] 市田 良輔: "A certain inequality on Riemannian manifolds of projective curvature" Memoirs of the Faculty of Science,Kyushu Univ.46. 105-114 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 一條 義博: "Conformally flat Finsler structures" J.Math.Tokushima Univ.25. 13-26 (1991)

    • Related Report
      1992 Annual Research Report
  • [Publications] 池田 章: "Zeta functions for differential forms on complex projective spaces and their asymptotic expansions" Bull.Fac.Sch.Educ.Hiroshima Univ.13. 1-10 (1991)

    • Related Report
      1992 Annual Research Report
  • [Publications] 印南 信宏: "Riemannian metric having poles and nonpoles on surfaces" Mem.Fac.Sci.Kyushu Univ.Ser.A. 46. 79-84 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 印南 信宏: "Jacobi vector Fields along geodesic flows" Dynamical System and Related Topics,World Scientific Adv.,Ser.in Dynam.Sys.9. 166-174 (1991)

    • Related Report
      1992 Annual Research Report
  • [Publications] 石原 徹: "Harmonic maps of nonorientable surfaces to four dimensional manifold" Tohoku Math.J.45. 543-559 (1993)

    • Related Report
      1992 Annual Research Report
  • [Publications] 石川 晋: "Biharmonic surfaces in pseudo-Euclidean spaces" Memoirs of Fac.Sci.,Kyushu Univ.,Ser.A. 45. 325-349 (1991)

    • Related Report
      1992 Annual Research Report
  • [Publications] 石川 晋: "Biharmonie W-Surfaces in 4-dimensional pseudo-Euclidean space" Memoris of Fac.Sci.,Kyushy Univ.,Ser.A. 46. 266-286 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 伊藤 良彦: "日本における微分積分に関するカリキュラムの変遷" 早稲田大学数学教育学会誌. 9. 27-30 (1991)

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      1992 Annual Research Report
  • [Publications] 伊藤 光弘: "Yanabe metrics and the space of conformal structures" International Jour.Math.2. 659-671 (1991)

    • Related Report
      1992 Annual Research Report
  • [Publications] 伊藤 武広: "Complete surfaces in E^3 with constant mean curvature" Tamkang J.22. 79-82 (1991)

    • Related Report
      1992 Annual Research Report
  • [Publications] 岩井 敏洋: "The MIC-Kepler problem and its symmetry group for positive energies both in classical and quantum mechanics" Nuovo Cimento. 106B. 849-871 (1991)

    • Related Report
      1992 Annual Research Report
  • [Publications] 岩井 敏洋: "The MIC-Kepler problem and its symmetry group for zero energy both in classical and quantum mechanics" Nuovo Gimento. 106B. 1195-1219 (1991)

    • Related Report
      1992 Annual Research Report
  • [Publications] 岩井 敏洋: "A representation of the Guichardet connections in the Aharoniv-Anandan connection" Physics Letters A. 162. 289-293 (1992)

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      1992 Annual Research Report
  • [Publications] 岩井 井洋: "Berry connections as Yang-Mills Connections on CP^2" Physics Letters A. 166. 89-93 (1992)

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      1992 Annual Research Report
  • [Publications] 井関 裕靖: "On the conformal transformation grop of a compact Riemannian manifold with constant scalar curvature" Tokyo Journal of Math.15. 123-127 (1992)

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      1992 Annual Research Report
  • [Publications] 井関 裕靖: "On compact conformally flat 4-manifolds" Tohoku Math.Journal. 44. 299-304 (1992)

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      1992 Annual Research Report
  • [Publications] 金行 壯二: "Homogeneous symplectic manifolds and dipolarizations in Lie algebras" Tokyo J.Math.15. 279-291 (1992)

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      1992 Annual Research Report
  • [Publications] 金行 壯二: "On the subalgebras go and gev of semisimple graded Lie algebras" J.Math.Soc.Japan. 45. 1-19 (1993)

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      1992 Annual Research Report
  • [Publications] 河口 知商: "Sur la theorie geometrique de la optique relativiste" Comptes Rendus Hebdomadaires des Seances de I'Academie des Sciences. 312. 593-598 (1991)

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      1992 Annual Research Report
  • [Publications] 河口 知商: "On the relativistic geometrical optics" International Journal of Theoretical Physics. 30. 1521-1543 (1991)

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      1992 Annual Research Report
  • [Publications] 河知 知商: "Generalized Lagrange metric derived from a Finsler function" Reports on Math.Physics. 30. 41-52 (1991)

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      1992 Annual Research Report
  • [Publications] 河口 知商: "Finslerian approach to lagrange mechanics" Colloquia Math.Soc.Janos Bolyai. 56. 1-5 (1991)

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      1992 Annual Research Report
  • [Publications] 河口 知商: "Anomalously-Finslerian corrections to speed-of-light given by metric tensor g_<ij>(x,x)=r_<ij>+i_ii_i" Tensor,N.S.51. 170-176 (1991)

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      1992 Annual Research Report
  • [Publications] 河合 茂生: "On the Dirichlet problem of the equation-Δu=Ku^5 on the ball in R^3" Funkcialaj Ekvacioj. 35. 321-331 (1992)

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      1992 Annual Research Report
  • [Publications] 河合 茂生: "Concerning a type of Sobolev inequality on the sphere" Math.Ann.293. 7-16 (1992)

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      1992 Annual Research Report
  • [Publications] 剱持 勝衛: "Foliations by hypersurfaces with constant mean curvature" Math.Zeit.207. 97-108 (1991)

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      1992 Annual Research Report
  • [Publications] 吉川 通彦: "Projectivity of homogeneous left loop" Proc.Intetnational Symposium on Nonassociative Algebras and Related Topics,Hiroshima,1990. 77-99 (1991)

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      1992 Annual Research Report
  • [Publications] 吉川 通彦: "A class of double Lie algebras on simple Lie algebras and projectivity of simple Lie groups" Mem.Fac.Sci.Shimane Univ.25. 39-44 (1991)

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      1992 Annual Research Report
  • [Publications] 吉川 通彦: "Symmetrizability of geodesic homogeneous left Lie loops" Proc.3rd Geometry Conference Thessaloniki 1991. 230-238 (1992)

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      1992 Annual Research Report
  • [Publications] 菊地 重隆: "Legendre transformations of the generalized Lagrange space" Tensor. 50. 177-182 (1991)

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      1992 Annual Research Report
  • [Publications] 松本 誠: "A special class of locally Minkowski spaces with(α,β)-metric and conformally flat Kropina spaces" Tensor,N.S.50. 202-207 (1991)

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      1992 Annual Research Report
  • [Publications] 松本 正恒: "New equations on n-dimensional almost Tachibana spaces" Bull.st.Marianna Univ.20. 5-12 (1991)

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      1992 Annual Research Report
  • [Publications] 岩本 正恒: "On linked vector patterns and constellation graph" Bull.st.Marianna Univ.20. 13-18 (1991)

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      1992 Annual Research Report
  • [Publications] 松本 正恒: "On linked vector Patterns for rank data" Bull.st.Marianna Univ.21. 7-12 (1992)

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      1992 Annual Research Report
  • [Publications] 松永 弘道: "Note on periodic instanton" Mem.Fac.Sci.Shimane Univ.25. 1-5 (1991)

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      1992 Annual Research Report
  • [Publications] 松下 泰雄: "Fields of 2-planes and two kinds of almost complex structures on compact 4-dimensional manifolds" Math.Z.207. 281-291 (1991)

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      1992 Annual Research Report
  • [Publications] 松山 善男: "On symmetric spaces admitting a conformally flat hypersurfaces" Bull.Facul.Sci.and Eng.Chuo Univ.34. 1-23 (1991)

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      1992 Annual Research Report
  • [Publications] 三上 健太郎: "Symplectic double groupoids over Posson (ax+b)-groups" Trans.Amer.Math.Soc.324. 447-463 (1991)

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      1992 Annual Research Report
  • [Publications] 三村 文武: "Alternative approach to the inverse problem of Lagrangian dynamics in the multiple variational principle" Bull.Kyushu Inst.Tech.Math.Natur.Sci.38. 1-12 (1991)

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      1992 Annual Research Report
  • [Publications] 三村 文武: "Conservation laws of one-dimensional nonconservative motions" Bull.Kyusyu Inst.Tech.Math.Natur.Sci.39. 9-27 (1992)

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      1992 Annual Research Report
  • [Publications] 三村 文武: "Conditions for deriving conservation law in nonconservative Lagrangian dynamics" Tensor,N.S.51. 165-169 (1992)

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      1992 Annual Research Report
  • [Publications] 三村 文武: "Extended derivations associated with vector-valued differential forms" Tensor,N.S.51. 169-207 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 河口 知商: "数理情報辞典,フィッシャーの情報量について" 朝倉書店, (1993)

    • Related Report
      1992 Annual Research Report
  • [Publications] 大森 英樹: "一般力学系と場の幾何学" 裳華房, 317 (1991)

    • Related Report
      1992 Annual Research Report
  • [Publications] 酒井 隆: "リーマン幾何学(数学選書11)" 裳華房, 421 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 早根 由昌: "Complex Geometry" Proceedings of the Osaka International conference,Marcel Dekker, 240 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 竹内 勝: "Lie Groups I" Amer.Math.Soc, 112 (1991)

    • Related Report
      1992 Annual Research Report
  • [Publications] 竹内 勝: "Lie Groups II" Amer.Math.Soc., 147 (1991)

    • Related Report
      1992 Annual Research Report
  • [Publications] 古田 高士: "Self‐dual Einstein Hermitian surfaces" Advanced Studies in Pure Mathematics. (22).

    • Related Report
      1991 Annual Research Report
  • [Publications] 砂田 利一: "Group C'‐algebras and the spectrum of a periodic Schrodinger operator on a manifold" Canadian Jounal of Mathematics. 43. 1-14 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 浦川 肇: "Geometry of Laplace‐Beltrami operator on a complete Riemannian manifold" Advanced Studies in Pure Mathematics. 21. 1-62 (1992)

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      1991 Annual Research Report
  • [Publications] 芥川 和雄: "Harmonic maps of unbounded convex polygons in the hyperbolic plane" Geometry and its applications,Proceedings of a workshop in honor of Morio Obata.

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  • [Publications] 塩浜 勝博: "Recant Developments in Sphere Theorems" Proceedings of Symposia in Pure Mathemtics,AMS.

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  • [Publications] 印南 信宏: "The class of second order equations which Riemannian geometry can be applied to" Journal of the Mathematical Society of Japan.

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  • [Publications] 深谷 賢治: "The Fundamental group of almost nonnegatively curved manifolds" Annals of Mathematics.

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  • [Publications] 舟野 修吉: "Pseudo‐conformal invariants of type (1,3) of CR manifolds" Hokkaido Mathematical Journal. 20. 195-204 (1991)

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  • [Publications] 野水 克己: "A new model of unimodular‐affinely homogeneous surfaces" Manuscripta Mathematica. 73. 33-44 (1991)

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  • [Publications] 坂根 由昌: "Compact Einstein manifolds‐Kahler‐Einstein case with positive Ricci tensor‐" Sugaku Expositions. 4. 199-221 (1991)

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  • [Publications] 赤堀 隆夫: "On the Construction of the Moduli Space for Strongly Pseudo‐convex Domains" Proceedings of Symposia in pure Mathematics,AMS.

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  • [Publications] 岩井 敏洋: "The MIC‐Kepler problem and its symmetry group for positive energies both in classical and quantum mechanics" II Nuovo Cimeto. 106B. 849-871 (1991)

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  • [Publications] 北原 晴夫: "調和積分論" 近代科学社, 201 (1991)

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  • [Publications] 大森 英樹: "一般力学系と場の幾何学" 裳華房, 325 (1991)

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Published: 1991-04-01   Modified: 2016-04-21  

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