An energy gap for Yang-Mills connections

Details An energy gap for Yang-Mills connections An energy gap for Yang-Mills connections

2009-08-06

arxiv.org/abs/0908.0767v1

Commun.Math.Phys.298:515-522,2010

Mathematics

Differential Geometry

7 pages

Scientific paper

10.1007/s00220-010-1073-0

Consider a Yang-Mills connection over a Riemann manifold $M=M^n$, $n\ge 3$,
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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