微分几何中变换群的刚性

arXiv: Differential Geometry Pub Date : 2020-09-29 DOI:10.1090/NOTI2279

K. Melnick

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引用次数: 3

摘要

在本研究中，对称性为具有微分几何结构的流形的分类提供了一个框架。我们强调伪黎曼度量，共形结构和投影结构。一系列的技术已经被开发并成功地应用于这个主题，其中一些是基于代数和动力学的，一些是基于分析的。我们的目的是说明这种多样性。

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Rigidity of Transformation Groups in Differential Geometry

In this survey, symmetry provides a framework for classification of manifolds with differential-geometric structures. We highlight pseudo-Riemannian metrics, conformal structures, and projective structures. A range of techniques have been developed and successfully deployed in this subject, some of them based on algebra and dynamics and some based on analysis. We aim to illustrate this variety.

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来源期刊

arXiv: Differential Geometry

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