Kahler-Ricci solitons on compact complex manifolds with C1(M)>0

被引：30

作者：

Cao, HD ^{[1
]}

Tian, G

Zhu, XH

机构：

[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

[2] MIT, Dept Math, Cambridge, MA 02139 USA

[3] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

来源：

GEOMETRIC AND FUNCTIONAL ANALYSIS | 2005年 / 15卷 / 03期

基金：

中国国家自然科学基金; 美国国家科学基金会;

关键词：

D O I：

10.1007/s00039-005-0522-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we discuss the relation between the existence of Kahler-Ricci solitons and a certain functional associated to some complex Monge-Ampere equation on compact complex manifolds with positive first Chern class. In particular, we obtain a strong inequality of Moser-Trudinger type on a compact complex manifold admitting a Kahler-Ricci soliton.

引用

页码：697 / 719

页数：23

共 16 条

[1] REDUCTION OF THE POSITIVE CASE OF THE MONGE-AMPERE EQUATION ON KAHLER COMPACT MANIFOLDS IN THE DEMONSTRATION OF AN INEQUALITY [J].