Bergman local isometries are biholomorphisms
Complex Variables
2024-04-30 v1 Differential Geometry
Abstract
We prove that a proper holomorphic local isometry between bounded domains with respect to the Bergman metrics is necessarily a biholomorphism. The proof relies on a new method grounded in Information Geometry theories.
Cite
@article{arxiv.2404.18792,
title = {Bergman local isometries are biholomorphisms},
author = {Jihun Yum},
journal= {arXiv preprint arXiv:2404.18792},
year = {2024}
}
Comments
8 pages