Quotients of the crown domain by a proper action of a cyclic group

Abstract

Let G/K be an irreducible Riemannian symmetric space of the non-compact type and denote by Ξthe associated crown domain. We show that for any proper action of a cyclic group Γthe quotient Ξ/Γis Stein. An analogous statement holds true for discrete nilpotent subgroups of a maximal split-solvable subgroup of G. We also show that Ξis taut.

References in corpus (2)

• Cycle Spaces of Flag Domains: A Complex Geometric Viewpoint
• On univalence of equivariant Riemann domains over the complexification of a non-compact, Riemannian symmetric space