伪凸域上Kähler-Einstein度规变分的亚谐性
Subharmonicity of the variations of Kähler-Einstein metrics on pseudoconvex domains
摘要：
本文是《数学年鉴》中\cite{Choi}的续篇，研究了维数大于或等于$3$的强伪凸域上Kähler-Einstein度量的次调和性.本文研究了维数为$2$的有界强伪凸域上的Kähler-Einstein度量的变化.此外，我们还讨论了一般有界伪凸域和一族有界强伪凸域的局部平凡性的结果。
英文摘要：
This paper is a sequel to \cite{Choi} in Math. Ann. In that paper we studied the subharmonicity of Kähler-Einstein metrics on strongly pseudoconvex domains of dimension greater than or equal to $3$. In this paper, we study the variations Kähler-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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
