Direct minimizing method for Yang-Mills energy over $SO(3)$ bundle
Differential Geometry
2021-09-21 v1
Abstract
In this paper, we use the direct minimizing method to find Yang-Mills connections for bundles over closed four manifolds. By constructing test connections, we prove that a minimizing sequence converges strongly to a minimizer under certain assumptions. In case the strong convergence fails, we find an anti-selfdual (or selfdual) connection.
Keywords
Cite
@article{arxiv.2109.09311,
title = {Direct minimizing method for Yang-Mills energy over $SO(3)$ bundle},
author = {Hao Yin},
journal= {arXiv preprint arXiv:2109.09311},
year = {2021}
}