The Einstein-Kahler Metric on the Third Cartan-Hartogs Domain

被引：1

作者：

Zhang, Wen Juan ^{[1
]}

Yin, Wei Ping ^{[2
]}

机构：

[1] Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China

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

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2008年 / 24卷 / 10期

关键词：

Einstein-Kahler metric; holomorphic sectional curvature; holomorphic automorphism group;

D O I：

10.1007/s10114-008-6548-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we discuss the Einstein-Kahler metric on the third Cartan-Hartogs domain Y(III) (n, q;K). Firstly we get the complete Einstein-Kahler metric with explicit form on Y(III)(n, q;K) in the case of K = q/2 + 1/q-1. Secondly we obtain the holomorphic sectional curvature under this metric and get the sharp estimate for this holomorphic curvature. Finally we prove that the complete Einstein-Kahler metric is equivalent to the Bergman metric on Y(III)(n, q;K) in case of K = q/2 + 1/q-1.

引用

页码：1703 / 1712

页数：10

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