论文标题
差异几何形状中转化组的刚度
Rigidity of transformation groups in differential geometry
论文作者
论文摘要
在这项调查中,对称性为具有差异几何结构的流形分类提供了一个框架。我们重点介绍了伪 - 利马尼亚的指标,保形结构和投射结构。已经开发了一系列技术并成功地在该主题中部署了,其中一些基于代数和动力学以及一些基于分析的技术。我们旨在说明这种品种。
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.