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arXiv · 1501.02416

Subharmonicity of the variations of K\"ahler-Einstein metrics on pseudoconvex domains

Young-Jun Choi
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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 $3$. In this paper, we study the variations K\"ahler-Einstein metrics on bounded strongly pseudoconvex domains of dimension $2$. In addition, we discuss the previous result with general bounded pseudoconvex domain and local triviality of a family of bounded strongly pseudoconvex domains.

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Young-Jun Choi. 2015-01-11. Subharmonicity of the variations of K\"ahler-Einstein metrics on pseudoconvex domains. https://arxiv.org/abs/1501.02416

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