Some Energy Properties of Yang-Mills Connections
Differential Geometry
2016-06-15 v3 Mathematical Physics
math.MP
Abstract
We consider a vector bundle over a compact Riemannian manifold =,,and is a Yang-Mills connection with curvature on .Then we prove a mean value inequality for the density .This inequality give rise to an energy concentrate principle for sequences of solutions that have bounded energy.We also proof that the energy must be bounded from below by some positive constant unless is a flat bundle.
Keywords
Cite
@article{arxiv.1502.03198,
title = {Some Energy Properties of Yang-Mills Connections},
author = {Teng Huang},
journal= {arXiv preprint arXiv:1502.03198},
year = {2016}
}
Comments
This paper has been withdrawn. The result of this paper turned out to be a special case of arXiv:1502.00668