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On the realization of Riemannian symmetric spaces in Lie groups

Geometric Topology 2007-05-23 v3

Abstract

In this paper we give a realization of some symmetric space G/K as a closed submanifold P of G. We also give several equivalent representations of the submanifold P. Some properties of the set gK\cap P are also discussed, where gK is a coset space in G.

Keywords

Cite

@article{arxiv.math/0502028,
  title  = {On the realization of Riemannian symmetric spaces in Lie groups},
  author = {Jinpeng An and Zhengdong Wang},
  journal= {arXiv preprint arXiv:math/0502028},
  year   = {2007}
}

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8 pages