English

On the realization of Riemannian symmetric spaces in Lie groups II

Geometric Topology 2007-05-23 v3

Abstract

In this paper we generalize a result in [1], showing that an arbitrary Riemannian symmetric space can be realized as a closed submanifold of a covering group of the Lie group defining the symmetric space. Some properties of the subgroups of fixed points of involutions are also proved.

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Cite

@article{arxiv.math/0504120,
  title  = {On the realization of Riemannian symmetric spaces in Lie groups II},
  author = {Jinpeng An and Zhengdong Wang},
  journal= {arXiv preprint arXiv:math/0504120},
  year   = {2007}
}

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6 pages