The twisted Kahler-Ricci flow

被引：24
|
作者：
Collins, Tristan C. [1 ]
Szekelyhidi, Gabor [2 ]
机构：
[1] Columbia Univ, Dept Math, New York, NY 10027 USA
[2] Univ Notre Dame, Dept Math, South Bend, IN USA
来源：
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2016年 / 716卷
关键词：
SCALAR CURVATURE; METRICS;
D O I：
10.1515/crelle-2014-0010
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study a generalization of the Kahler-Ricci flow, in which the Ricci form is twisted by a closed, non-negative (1, 1)-form. We show that when a twisted Kahler-Einstein metric exists, then this twisted flow converges exponentially. This generalizes a result of Perelman on the convergence of the Kahler-Ricci flow, and it builds on work of Tian-Zhu.
引用
收藏
页码：179 / 205
页数：27
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