A study of variations of pseudoconvex domains via Kahler-Einstein metrics

被引：4
|
作者：
Choi, Young-Jun [1 ]
机构：
[1] Korea Inst Adv Study, Sch Math, Seoul 130722, South Korea
来源：
MATHEMATISCHE ZEITSCHRIFT | 2015年 / 281卷 / 1-2期
关键词：
Kahler-Einstein metric; Strongly pseudoconvex domain; A family of strongly pseudoconvex domains; Subharmonic; Plurisubharmonic; Variation; BERGMAN-KERNEL; REGULARITY; MANIFOLDS; GEOMETRY;
D O I：
10.1007/s00209-015-1484-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is a sequel to Choi (Math Ann 362(1-2):121-146, 2015) in Math. Ann. In that paper we studied the subharmonicity of Kahler-Einstein metrics on strongly pseudoconvex domains of dimension greater than or equal to 3. In this paper, we study the variations Kahler-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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页码：299 / 314
页数：16
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