Complex crowns of Riemannian symmetric spaces and non-compactly causal symmetric spaces

Simon Gindikin; Bernhard Kroetz

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arXiv · math/0111033

Complex crowns of Riemannian symmetric spaces and non-compactly causal symmetric spaces

Simon Gindikin·Bernhard Kroetz

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Abstract

In this paper we define a distinguished boundary for the complex crowns $Ξ\subeq G_\C /K_\C$ of non-compact Riemannian symmetric spaces $G/K$. The basic result is that affine symmetric spaces of $G$ can appear as a component of this boundary if and only if they are non-compactly causal symmetric spaces.

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BibTeX RIS

Simon Gindikin, Bernhard Kroetz. 2001-11-02. Complex crowns of Riemannian symmetric spaces and non-compactly causal symmetric spaces. https://arxiv.org/abs/math/0111033

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