The Einstein-Kahler metrics on Hua domain

被引：0

作者：

Wang, A ^{[1
]}

Yin, WP ^{[1
]}

机构：

[1] Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2003年 / 40卷 / 04期

关键词：

Cartan-Hartogs domain; Einstein-Kahler metric; comparison theorem; Hua domain;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we describe the Einstein-Kahler metric for the Cartan-Hartogs of the first type which is the special case of the Hua domains. Firstly, we reduce the Monge-Ampere equation for the metric to an ordinary differential equation in the auxiliary function X = X(z, w) = \w\(2)[det(I - ZZ(T))](-1/K) (see below). This differential equation can be solved to give an implicit function in X. Secondly, we get the estimate of the holomorphic section curvature under the complete Einstein-Kahler metric on this domain.

引用

页码：609 / 627

页数：19

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