Remarks on two theorems of Qi-Keng Lu

被引：1

作者：

Cheung Wing-Sum ^{[1
]}

Wong Bun ^{[2
]}

机构：

[1] Univ Hong Kong, Dept Math, Hong Kong, Peoples R China

[2] Univ Calif Riverside, Dept Math, Riverside, CA 92521 USA

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS | 2008年 / 51卷 / 04期

关键词：

Bergman metric; holomorphic sectional curvature; intrinsic metrics and measures; Qi-Keng Lu theorem;

D O I：

10.1007/s11425-007-0146-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Two alternate arguments in the framework of intrinsic metrics and measures respectively of part of the proof of a famous theorem due to Qi-Keng Lu on Bergman metric with constant negative holomorphic sectional curvature are presented. A relationship between the Lu constant and the holomorphic sectional curvature of the Bergman metric is given. Some recent progress of the Yau's problem on the characterization of domain of holomorphy on which the Bergman metric is Kahler-Einstein is described.

引用

页码：773 / 776

页数：4

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