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1990 Fiscal Year Final Research Report Summary

可微分多様体の大域的構造について

Research Project

Project/Area Number 63302003
Research Category

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

Allocation TypeSingle-year Grants
Research Field 代数学・幾何学
Research InstitutionKyushu University

Principal Investigator

SHIOHAMA Katsuhiro  Kyushu Univ. Fac. of Sci. Professor, 理学部, 教授 (20016059)

Co-Investigator(Kenkyū-buntansha) SAKAI Takashi  Okayama Univ. Fac. of Sci. Professor, 理学部, 教授 (70005809)
OGIUE Kouichi  Tokyo Metropolitan Univ. Fac. of Sci. Professor, 理学部, 教授 (10087025)
TAKAGI Ryoichi  Chiba Univ. Fac. of Sci. Professor, 理学部, 教授 (00015562)
SUNADA Toshikazu  Nagoya Univ. Fac. of Sci. Professor, 理学部, 教授 (20022741)
OCHIAI Takushiro  Tokyo Univ. Fac. of Sci. Professor, 理学部, 教授 (90028241)
Project Period (FY) 1988 – 1990
Keywordsmanifold / Einstein metric / curvature / Yang-Mills connection / homogeneous spaces / minimal surfaces / Lie contact structure / Laplacian
Research Abstract

According to our original plan, two large-scale symposiums were organized by this project.
The 35th symposium on Geometry was held at Shinshu Univ. From 25-30, July 1988 with 255 participants. There were eight survey lectures in the morning sessions and sixty-four one-hour-talks divided in to mine parallel afternoon sessions. Most of the results announced in the symposium have been published from Advanced Studies in Pure Mathematics, Vol. 18 (Kinokuniya, 1989) entitled "Recent Topics in Differential and Analytic Geometry" and from Perspectives in Mathematics, Vol. 8 (Academic Press, 1990) entitled "Geometry of Manifolds".
The 36th symposium on Geometry was held at Tohoku Univ. From 21-26 August 1989 with 288 participants. There were twelve survey lectures in morning sessions and sixty-eight one-hour-talks divided into eight parallel afternoon sessions. The main results will have been published from Advanced Studies in Pure Mathematics, Vol. 22 (Kinokuniya, 1991) entitled "Recent Developments in Differential Geometry".

  • Research Products

    (46 results)

All Other

All Publications (46 results)

  • [Publications] 深谷 賢治: "Collapsing Riemnnian manifold to ones of lower dimension II" J.Math.Soc.Japan. 41. 333-356 (1989)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 二木 昭人: "A Lie algebra character and Kahler ーEinstein metrics" Proc.Symp.Pure Math.

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 金井 雅彦: "Geodesic flows of negatively curved manifolds with smooth stable and unstable foliations" Ergod.Theory and Dynam.Systems.,. 8. 215-239 (1988)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 佐々木 武: "Linear differential equations modeled after hyperquadrics" Tohoku Math.J.,. 41. 321-348 (1989)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 塩浜 勝博: "Recent Development in Sphere Theorems" Proc.Symp.Pure Math.(AMS).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 勝田 篤(砂田 利一と共著): "Closed orbits in homology classes" IHES.Publ.71. (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 山口 孝男: "Collapsing and pinching under a lower curvature bound" Ann.of Math.

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 加須栄 篤: "On a construction of coordinates at infinity on manifolds with fast curvature decay(板東 重稔、中島 啓と共著)" Invent.Math.97. 313-349 (1989)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 印南 信宏: "Manifolds without conjugate points and with integral curvature zero" J.Math.,Soc.Japan.41. 251-261 (1989)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 剱持 勝衛: "A geometric characterization of an isometric deformation of flat surfaces in 〓^3 preserving mean curvatures" Anasis de Academic Brasileira de Ciencias. 61. 383-387 (1989)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 小林 亮一: "Ricciーflat Kahler metrics on affine algebraic manifolds 2" Math.Ann.,. 287. 175-180 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 酒井 隆: "On levels of the distance function from the boundary of convex domain"

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 高木 亮一: "Real hypersurfaces in Pn(〓) with constant principal curvatures"

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 丹野 修吉: "Variational problems on contact Riemannian manifolds" Trans.Amers.Math.Soc.,. 314. 349-379 (1989)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 塩浜 勝博(大津 幸男,山口 孝男と共著): "A new version of differentiable sphere theorem" Invent.Math.,. 98. 219-228 (1989)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 砂田 利一(小野 薫と共著): "Periodic Schroedinger operators on a manifold" Forum Math.,. 1. 69-79 (1989)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 坂根 由昌: "Nonーhomogeneous Ka^¨hlerーEinstein metrics on compact complex manifolds" Osaka J.Math.,. 25. 939-959 (1988)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 砂田 利一: "A periodic Schroedinger operator on an abel cover"

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 竹内 勝: "Two numbers of symmetric Rーspaces" Nagoya J. Math.,. 115. 43-46 (1989)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 浦川 肇: "Spectra of Riemannian manifolds without focal points" Geometry of Manifolds,Perspectuves in Math.,. 8. 435-444 (1989)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 森本 徹: "Theoreme de CartanーKa^¨hler dans une classe de fonctions formelles Gevrey" C.R.Acad. Sci. Paris. 311. 433-436 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 落合 卓四郎 (編): "Recent Topics in Differential and Analytic Geometry,Adv.Stud.Pure Math.Vol.18" 紀伊国屋ーAcademic Press, (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 塩浜 勝博 (編): "Gemetry of Manifolds,Perspective in Mathematics,Vol.8." Academic Press, 517 (1990)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K. FUKAYA: "Collepsing Riemannian manifolds to ones of lower dimension II." J. Math. Soc. Japan. Vol. 41. 333-356 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] A. Niki: "A Lie algebra character and kahler-Einstein metrics." Proc. Symp. Pure Math.

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M. Kanai: "Geodesic flows of negatively curved manifolds with smooth stable and unstable foliations." Ergod. Theory and Dynam. Symstems. Vol. 8. 215-239 (1988)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T. Sasaki: "Linear differential equations modeled after hyperquadrics." Tohoku Math. J.Vol. 41. 321-348 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K. Shiohama: "Recent Developments in Sphere Theoreme." Proc. Symp. Pure Math. (AMS).

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] A. Katsuda: "Closed orbits in homology classes. (with T. Sunada)" IHES. Publ.No. 71. (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T. Yamaguchi: "Collapsing and pinching under a lower curvature bound." Ann. of Math.

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] A. Kasue: "On a construction of coordinates at infinity on manifolds with fast curvature decay. (with S. Bando, H. Nakashima)" Invent. Math.Vol. 97. 313-349 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] N. Innami: "Manifolds without conjugate points and with integral curvature zero." J. Math. Soc. Japan.Vol. 41. 251-261 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K. Kennmotsu: "A geometric characterization of an isometric deformation of flat surfaces in R^3 preserving mean curvatures." Anais de Academia Brasileirade Ciencias. Vol. 61. 383-387 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] R. Kobayashi: "Ricci-flat Kahler metrics on affine algebraic manifolds II." Math. Ann.Vol. 287. 175-180 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T. Sakai: "On livels of the distance function from the boundary of convex domain."

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] R. Takagi: "Real hypersurfaces in Pn(C) with constant principal curvatures."

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S. Tanno: "Variational problems on contact Riemannian manifolds." Trans. Amer. Math. Soc.Vol. 314. 349-379 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K. Shiohama: "A new version of differentiable sphere theorem. (with Y. Otsu, T. Yamaguchi)" Invent. Math.Vol. 98. 219-228 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T. Sunada: "Periodic Schroedinger operators on a manifold. (with k. Ono)" Forum Math.Vol. 1. 69-79 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y. Sakane: "Non-homogeneous Kahler-Einstein metrics on compact complex manifolds. (with N. Koiso)" Osaka J. Math.Vol. 25. 939-959 (1988)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T. Sunada: "A periodic Schroedinger operator on an abel cover."

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M. Takeuchi: "Two numbers of symmetric R-spaces." Nagoya J. Math.Vol. 115. 43-46 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H. Urakawa: "Spectra of Riemannian manifolds without focal points." Geometry of Manifolds Perspectives in Math.Vol. 8. 435-444 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T. Morimoto: "Theoreme de Cartan-Kahler dans une classe de fonctions formelles Gevrey." C. R. Acad. Sci. Paris. Vol. 311. 433-436 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T. Ochiai (editor): Kinokuniya-Academic Press.Recent Topics in Differential and Analytic Geometry, Adv. Stud. Pure Math. Vol. 18, 1990

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K. Shiohama (editor): Geometry of Manifolds, Perspectives in Mathematics, Vol. 8, 517 (1990)

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 1993-08-12  

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