The comparison theorem for Bergman and Kobayashi metrics on Cartan-Hartogs domain of the second type

被引：0

作者：

ZHAO Xiaoxia 1

2. Fundamental Department

3. Department of Mathematics

机构：

来源：

Progress in Natural Science:Materials International | 2004年 / 02期

关键词：

Bergman metric; Kobayashi metric; Klher metric;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, the holomorphic sectional curvature under invariant metric on a Cartan-Hartogs domain of the second type Y II (N,p,K) is presented and an invariant Klher metric which is complete and not less than the Bergman metric is constructed, such that its holomorphic sectional curvature is bounded above by a negative constant. Hence a comparison theorem for the Bergman and Kobayashi metrics on Y II (N,p,K) is obtained.

引用

页码：9 / 16

页数：8

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