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

页码：243 / 257

页数：15

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