Subharmonicity of the variations of K\"ahler-Einstein metrics on pseudoconvex domains
Complex Variables
2016-04-19 v2 Differential Geometry
Abstract
This paper is a sequel to \cite{Choi} in Math. Ann. In that paper we studied the subharmonicity of K\"ahler-Einstein metrics on strongly pseudoconvex domains of dimension greater than or equal to . In this paper, we study the variations K\"ahler-Einstein metrics on bounded strongly pseudoconvex domains of dimension . In addition, we discuss the previous result with general bounded pseudoconvex domain and local triviality of a family of bounded strongly pseudoconvex domains.
Keywords
Cite
@article{arxiv.1501.02416,
title = {Subharmonicity of the variations of K\"ahler-Einstein metrics on pseudoconvex domains},
author = {Young-Jun Choi},
journal= {arXiv preprint arXiv:1501.02416},
year = {2016}
}
Comments
15 pages