On the realization of Riemannian symmetric spaces in Lie groups

2005/02/01 by Jinpeng An, Zhengdong Wang, An, Jinpeng +1 · 2 citations
Mathematics · #22E15 #53C35 #57R40 #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Geometric Topology (math.GT) #Geometry and complex manifolds #math.GT #msc:22E15 #msc:53C35 #msc:57R40

paper · pdf · doi:10.48550/arxiv.math/0502028

8 pages

openalex publication_date 2005/02/01 · arxiv created 2005/04/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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∩ P are also discussed, where gK is a coset space in G.

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