Comparison theorem on Cartan-Hartogs domain of the first type

被引：0

作者：

殷慰萍

王安

赵晓霞

机构：

来源：

Science China Mathematics | 2001年 / 05期

基金：

中国国家自然科学基金;

关键词：

Bergman metric; Kobayashi metric; Kahler metric;

D O I：

暂无

中图分类号：

O153 [抽象代数（近世代数）];

学科分类号：

070104 ;

摘要：

In this paper the holomorphic sectional curvature under invariant Kahler metrics on Cartan-Hartogs domain of the first type are given in explicit forms. In the meantime, we construct an invariant Kahler metric, which is not less than Bergman metric such that its holomorphic sectional curvature is bounded from above by a negative constant. Hence we obtain the comparison theorem for the Bergman metric and Kobayashi metric on Cartan-Hartogs domain of the first type.

引用

页码：587 / 598

页数：12