An Energy Gap for Yang-Mills Connections

被引：13
|
作者：
Gerhardt, Claus [1 ]
机构：
[1] Univ Heidelberg, Inst Angew Math, D-69120 Heidelberg, Germany
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2010年 / 298卷 / 02期
关键词：
Riemannian Manifold; Curvature Tensor; Sobolev Inequality; Bianchi Identity; Compact Riemannian Manifold;
D O I：
10.1007/s00220-010-1073-0
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Consider a Yang-Mills connection over a Riemann manifold M = M(n), n >= 3, where M may be compact or complete. Then its energy must be bounded from below by some positive constant, if M satisfies certain conditions, unless the connection is flat.
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页码：515 / 522
页数：8
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