The Einstein-Kahler metric on Hua construction of the first type

被引：3

作者：

Wang, A ^{[1
]}

Yin, WP ^{[1
]}

机构：

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

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS | 2005年 / 48卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Hua construction; Einstein-Kahler metric; generating function;

D O I：

10.1360/04ys0251

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let HCI be the Hua construction of the first type. We describe the Einstein-Kahler metric for HCI. We reduce the Monge-Ampere equation for the metric to an ordinary differential equation in the auxiliary function X(z, w, zeta). This differential equation can be solved to give an implicit function in X(z, w, zeta). For some cases, we obtained the solution of the differential equation and the explicit forms of the complete Einstein-Kahler metrics on HCI which are the non-homogeneous domains.

引用

页码：711 / 719

页数：9

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