Smoothly bounded domains covering compact manifolds
Complex Variables
2019-12-03 v2 Differential Geometry
Abstract
We show that if a bounded domain in complex Euclidean space with boundary covers a compact manifold, then the domain is biholomorphic to the unit ball.
Cite
@article{arxiv.1910.05288,
title = {Smoothly bounded domains covering compact manifolds},
author = {Andrew Zimmer},
journal= {arXiv preprint arXiv:1910.05288},
year = {2019}
}
Comments
23 pages. v2: minor changes in exposition, corrected some typos