可微分多様体の大域的構造について

可微流形的全局结构

• 批准号: 63302003
• 负责人: SHIOHAMA Katsuhiro
• 金额: $ 10.18万
• 依托单位: Kyushu University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Co-operative Research (A)
• 财政年份: 1988
• 资助国家: 日本
• 起止时间: 1988 至 1990
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-63302003/
• 关键词: manifold; Einstein metric; curvature; Yang-Mills connection; homogeneous spaces; minimal surfaces; Lie contact structure; Laplacian; リ-接触構造; 複素多様体; 力学系; 調和写像; 熱方程式; リッテ曲率; リ-マン多様体; リーマン多様体; 対称空間; ラプラスベルトラミ作用素; 部分多様体

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".

根据我们最初的计划，该项目组织了两个大规模的研讨会。第35届几何研讨会在Shinshu Univ举行。从1988年7月25日至30日，有255名参与者。早晨会议有八次调查讲座，六十四个小时的讲座分为我平行的下午会议。研讨会上宣布的大多数结果都是从纯数学高级研究中发表的。 18（Kinokuniya，1989）题为“差异和分析几何学的最新主题”，从数学角度来看，第1卷。 8（学术出版社，1990年）题为“流形的几何形状”。第36届几何研讨会在Tohoku Univ举行。从1989年8月21日至26日，有288名参与者。早上会议上有十二场调查讲座，而六十八个小时的讲座分为八个平行的下午会议。主要结果将来自纯数学高级研究，第1卷。 22（Kinokuniya，1991）题为“差异几何发展的最新发展”。

项目成果

山口 孝男: "Collapsing and pinching under a lower curvature bound" Ann.of Math.

Takao Yamaguchi：“在曲率下界下的塌缩和挤压”Ann.of Math。

砂田利一: to appear.

砂田利一：出现。

K. Shiohama: "A new version of differentiable sphere theorem. (with Y. Otsu, T. Yamaguchi)" Invent. Math.Vol. 98. 219-228 (1989)

K. Shioham：“可微球定理的新版本。（与 Y. Otsu、T. Yamaguchi 合作）”发明。

R. Takagi: "Real hypersurfaces in Pn(C) with constant principal curvatures."

R. Takagi：“具有恒定主曲率的 Pn(C) 中的真实超曲面。”

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)

Katsue Tsurugimochi：“保留平均曲率的〓^3 平面等距变形的几何特征”Anasis de Academy Brasileira de Ciencias 61. 383-387 (1989)。