Singularity formation in the Yang-Mills flow

被引：21

作者：

Weinkove, B ^{[1
]}

机构：

[1] Columbia Univ, Dept Math, New York, NY 10027 USA

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2004年 / 19卷 / 02期

关键词：

D O I：

10.1007/s00526-003-0217-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown that, for the Yang-Mills flow, a sequence of blow-ups of a rapidly forming singularity will converge, modulo the gauge group, to a non-trivial homothetically shrinking soliton. Explicit examples of homothetically shrinking solitons are given in the case of trivial bundles over R-n for 6 less than or equal to n less than or equal to 9.

引用

页码：211 / 220

页数：10

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