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

被引：29
|
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：
美国国家科学基金会; 中国国家自然科学基金;
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
收藏
页码：697 / 719
页数：23
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