On the K\"ahler-hyperbolicity of bounded symmetric domains
Complex Variables
2025-03-20 v1 Differential Geometry
Abstract
In this paper, we characterize the K\"ahler-hyperbolicity length of a bounded symmetric domain, defined by its rank and genus, as a unique constant determined by a constant gradient length of a special Bergman potential. Additionally, we establish a characterization of the lower bound of norm of the gradient length of any Bergman potential.
Cite
@article{arxiv.2503.15028,
title = {On the K\"ahler-hyperbolicity of bounded symmetric domains},
author = {Young-Jun Choi and Kang-Hyurk Lee and Aeryeong Seo},
journal= {arXiv preprint arXiv:2503.15028},
year = {2025}
}