The Kahler-Ricci Flow on Projective Bundles

被引：23
|
作者：
Song, Jian [1 ]
Szekelyhidi, Gabor [2 ]
Weinkove, Ben [3 ]
机构：
[1] Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA
[2] Columbia Univ, Dept Math, New York, NY 10027 USA
[3] Univ Calif San Diego, Dept Math, La Jolla, CA 92093 USA
来源：
INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2013年 / 2013卷 / 02期
基金：
美国国家科学基金会;
关键词：
EINSTEIN METRICS; SCALAR CURVATURE; CONVERGENCE; MANIFOLDS; STABILITY;
D O I：
10.1093/imrn/rnr265
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the behavior of the Kahler-Ricci flow on projective bundles. We show that if the initial metric is in a suitable Kahler class, then the fibers collapse in finite time and the metrics converge subsequentially in the Gromov-Hausdorff sense to a metric on the base.
引用
收藏
页码：243 / 257
页数：15
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