On the realization of Riemannian symmetric spaces in Lie groups II

Jinpeng An; Zhengdong Wang

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On the realization of Riemannian symmetric spaces in Lie groups II

Jinpeng An·Zhengdong Wang

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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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BibTeX RIS

Jinpeng An, Zhengdong Wang. 2006-06-09. On the realization of Riemannian symmetric spaces in Lie groups II. https://arxiv.org/abs/math/0504120

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