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Complex crowns of Riemannian symmetric spaces and non-compactly causal symmetric spaces
Authors:Simon Gindikin   Bernhard Krö  tz
Affiliation:Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903 ; The Ohio State University, Department of Mathematics, 231 West 18th Avenue, Columbus, Ohio 43210-1174
Abstract:In this paper we define a distinguished boundary for the complex crowns $Xi subseteq G_{mathbb{C} } /K_{mathbb{C} }$ 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.

Keywords:Riemannian symmetric spaces   non-compactly causal symmetric spaces
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