Riemann surfaces in Stein manifolds with density property
Complex Variables
2011-06-23 v1
Abstract
It is shown that any open Riemann surface can be immersed in any Stein manifold with (volume) density property and of dimension at least 2, if the manifold possesses an exhaustion with holomorphically convex compacts such that their complement is connected. The immersion can be made into an embedding if the dimension is at least 3. As an application, it is shown that Stein manifolds with (volume) density property and of dimension at least 3, are characterized among all other complex manifolds by their semigroup of holomorphic endomorphisms.
Keywords
Cite
@article{arxiv.1106.4416,
title = {Riemann surfaces in Stein manifolds with density property},
author = {Rafael B. Andrist and Erlend Fornæss Wold},
journal= {arXiv preprint arXiv:1106.4416},
year = {2011}
}
Comments
13 pages, 5 figures