On the realization of Riemannian symmetric spaces in Lie groups II

In this paper we generalize a result in [J. An, Z. Wang, On the realization of Riemannian symmetric spaces in Lie groups, Topology Appl. 153 (7) (2005) 1008–1015, showing that an arbitrary Riemannian symmetric space can be realized as a closed submanifold of a covering group of the Lie group definin...

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Bibliographic Details
Published inTopology and its applications Vol. 153; no. 15; pp. 2943 - 2947
Main Authors An, Jinpeng, Wang, Zhengdong
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.09.2006
Subjects
Embedded submanifold
Involution
Symmetric space
secondary
Involution
Symmetric space
Embedded submanifold
primary
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Summary:In this paper we generalize a result in [J. An, Z. Wang, On the realization of Riemannian symmetric spaces in Lie groups, Topology Appl. 153 (7) (2005) 1008–1015, 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.
ISSN:0166-8641
1879-3207
DOI:10.1016/j.topol.2006.01.002