On domains biholomorphic to Teichm\"{u}ller spaces
Differential Geometry
2017-09-27 v3 Complex Variables
Abstract
We prove that the Teichm\"{u}ller space of a closed surface of genus cannot be biholomorphic to any domain which is locally strictly convex at some boundary point.
Keywords
Cite
@article{arxiv.1701.06860,
title = {On domains biholomorphic to Teichm\"{u}ller spaces},
author = {Subhojoy Gupta and Harish Seshadri},
journal= {arXiv preprint arXiv:1701.06860},
year = {2017}
}
Comments
v3: strengthened main result of v2