Geometry of Manifolds and Global Analysis

流形几何和全局分析

基本信息

批准号：
05302002
负责人：
NISHIKAWA Seiki
金额：
$ 13.38万
依托单位：
Tohoku 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：
1993
资助国家：
日本
起止时间：
1993 至 1994
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-05302002/
关键词：
Geometry of manifolds Global analysis Geometric variational problem Riemannian geometry Complex differential geometry Dynamical system Symplectic geometry Integrable system 調和写像アレクサンドロフ空間巾零幾何学等質空間

项目摘要

The pourpose of this project is to promote cooperative researches of the Geometry of Manifolds and its related problems from the point of view of Global Analysis. To pursue the project, a working group of coordinators consisting of leading researchers in this field is organized, and the following symposiums and warkshops have been executed.1.Symposium in Differential Geometry Two symposiums were held in 1993 and 1994 to cultivate comprehensive studies in Geomerty and Global analysis. The one in 1993 was linked with the First International Research Institute of the Mathematical Society of Japan, which was a two-week international conference, to promote international resarch cooperation. Many results have been obtained during these symposiums as well as through subsequent researches. Among them, for instance, new examples of minimal surfaces of higher genus having catenoid-type ends are constructed(by Umehara and Yamada et al.), many interactions are found between the research of harmoni … More c maps and that of nonlinear integrable systems(by Ohnita and Miyaoka et al.), the singularities, differentiable structures and Riemannian structures of Alexandrov spaces with curvature bounded below are determined(by Otsu and Shioya et al.)and multi-fold Kepler systems are discovered(by Iwai and Uwano et al.).Workshops To promote joint researches, 11 workshops have been held on Nilpotent geometry and Analysis ; Complex differential geometry ; Dynamical system and Differential geometry ; Harmonic maps and Minimal surfaces ; Various methods in Riemannian geometry ; Homogeneous spaces and Variational problems ; Harmonic maps, Integrable systems and Moduli spaces ; Geometry of Riemannian manifolds and conformal structures ; Global analysis and Geometry. Also, to encourage graduate students and young researchers a workshop for surveys in symplectic geometry was carried out.To collect worldwide up-to-date research results and preprints in the field of Geometry of manifolds and Global analysis and make them easily accessible, a data base system running on email networks has been constituted for real-time public service. Less

该项目的倾向是从全球分析的角度促进流形的几何形状及其相关问题的合作研究。为了追求该项目，组织了一个由该领域领先研究人员组成的协调员的工作组，并执行了以下研讨会和战争厅。1。差异几何学中的Symposium在1993年和1994年举行了两次研讨会，以在Geomerty和Geral Analysis中培养综合研究。 1993年的一个与日本数学学会的第一家国际研究所有关，该研究所是为期两周的国际会议，旨在促进国际统治合作。在这些研讨会期间以及随后的研究中都获得了许多结果。例如，在其中构建了具有息肉类型末端的较高属的最小表面的新示例（由Umehara和Yamada等人构建），在Harmoni的研究中发现了许多相互作用……更多的C与非线性集成系统的研究（Ohnita and Miyaoka et and。下面有界限（由Otsu和Shioya等人确定），并发现了多重开普勒系统（由Iwai和Uwano等人。复杂的微分几何形状；动态系统和差异几何；谐波图和最小表面； Riemannian几何形状的各种方法；同质空间和各种问题；谐波图，可集成的系统和模量空间；黎曼流形和形成结构的几何形状；全球分析和几何形状。此外，为了鼓励研究生和年轻的研究人员进行对称几何学调查的研讨会。在全球范围内收集最新的研究结果，并在流形和全球分析的几何学领域中收集预印本，并使它们易于访问，并使它们易于访问，在电子邮件网络上运行的数据库系统已构成了实时公共服务。较少的