Quotients of bounded homogeneous domains by cyclic groups

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

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.

Homogeneous almost complex manifolds and their compact quotients

The paper investigates the (non)existence of compact quotients, by a discrete subgroup, of the homogeneous almost-complex strongly-pseudoconvex manifolds disconvered and classified by Gaussier-Sukhov and K.-H. Lee.

关于由单利离散群除以有界齐性域的商

On quotients of bounded homogeneous domains by unipotent discrete groups

本文研究了由单利离散群除以有界齐性域的商的全纯分离性和斯蒂恩空间性质，给出了必要条件及部分充分性证明。

Properly discontinuous actions on bounded domains

We give sufficient conditions for the quotient of a free, properly discontinuous action on a bounded domain of holomorphy to be a Stein manifold in terms of Poincaré series or limit sets for orbits. An immediate consequence is that the quotient of any cyclic, free, properly discontinuous action on the unit ball or the bidisc is Stein.