Rigidity theorems by the logarithmic capacity
Complex Variables
2021-11-24 v2 Differential Geometry
Abstract
In light of the Suita conjecture, we explore various rigidity phenomena concerning the Bergman kernel, logarithmic capacity, Green's function, and Euclidean distance and volume.
Cite
@article{arxiv.2011.05273,
title = {Rigidity theorems by the logarithmic capacity},
author = {Robert Xin Dong and Yuan Zhang},
journal= {arXiv preprint arXiv:2011.05273},
year = {2021}
}
Comments
This paper has been withdrawn by the authors. It has been superseded and generalized by arXiv:2111.10973 (merged from arXiv:2011.05273 and arXiv:2101.01358)