Kobayashi hyperbolic convex domains not biholomorphic to bounded convex domains
Complex Variables
2020-06-29 v2
Abstract
We construct families of convex domains that are biholomorphic to bounded domains, but not bounded convex domains. This is accomplished by finding an obstruction related to the Gromov hyperbolicity of the Kobayashi metric.
Keywords
Cite
@article{arxiv.2006.07939,
title = {Kobayashi hyperbolic convex domains not biholomorphic to bounded convex domains},
author = {Andrew Zimmer},
journal= {arXiv preprint arXiv:2006.07939},
year = {2020}
}
Comments
v2: 12 pages, minor revisions