A Kobayashi and Bergman complete domain without bounded representations
Complex Variables
2020-03-17 v1
Abstract
We construct an unbounded strictly pseudoconvex Kobayashi hyperbolic and complete domain in , which also possesses complete Bergman metric, but has no nonconstant bounded holomorphic functions.
Cite
@article{arxiv.2003.06728,
title = {A Kobayashi and Bergman complete domain without bounded representations},
author = {Nikolay Shcherbina and Liyou Zhang},
journal= {arXiv preprint arXiv:2003.06728},
year = {2020}
}
Comments
15 pages. Comments welcome!