Christian Miebach, Karl Oeljeklaus

摘要

In this paper we investigate proper $mbb{R}$--actions on hyperbolic Stein surfaces and prove in particular the following result: Let $Dsubsetmbb{C}^2$ be a simply-connected bounded domain of holomorphy which admits a proper $mbb{R}$--action by holomorphic transformations. The quotient $D/mbb{Z}$ with respect to the induced proper $mbb{Z}$--action is a Stein manifold. A normal form for the domain $D$ is deduced.