2000 character limit reached
Smoothly bounded domains covering finite volume manifolds (1802.01178v1)
Published 4 Feb 2018 in math.CV and math.DG
Abstract: In this paper we prove: if a bounded domain with $C2$ boundary covers a manifold which has finite volume with respect to either the Bergman volume, the K\"ahler-Einstein volume, or the Kobayashi-Eisenman volume, then the domain is biholomorphic to the unit ball. This answers an old question of Yau. Further, when the domain is convex we can assume that the boundary only has $C{1,\epsilon}$ regularity.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.