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arxiv: math/0504120 · v3 · submitted 2005-04-07 · 🧮 math.GT

On the realization of Riemannian symmetric spaces in Lie groups II

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keywords symmetricgroupriemannianspacearbitraryclosedcoveringdefining
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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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