Quotients of bounded homogeneous domains by cyclic groups

Abstract

Let $D$ be a bounded homogeneous domain in $\mbb{C}^n$ and let $\Gamma$ be a cyclic discrete subgroup of the automorphism group of $D$. It is shown that the complex space $D/\Gamma$ is Stein.

14 pages. The statement of Proposition 4.6 has been corrected

Cited by in corpus (4)

• On proper $\mbb{R}$-actions on hyperbolic Stein surfaces
• On quotients of bounded homogeneous domains by unipotent discrete groups
• Quotients of the crown domain by a proper action of a cyclic group
• Invariant holomorphic foliations on Kobayashi hyperbolic homogeneous manifolds