Gap theorems in Yang-Mills theory for complete four-dimensional manifolds with positive Yamabe constant
Differential Geometry
2024-06-13 v2
Abstract
In this paper we prove gap theorems in Yang-Mills theory for complete four-dimensional manifolds with positive Yamabe constant. We extend the results of Gursky-Kelleher-Streets to complete manifolds. We also describe the equality in the gap theorem in terms of the basic instanton, which is interesting even for compact manifolds.
Cite
@article{arxiv.2406.06853,
title = {Gap theorems in Yang-Mills theory for complete four-dimensional manifolds with positive Yamabe constant},
author = {Matheus Vieira},
journal= {arXiv preprint arXiv:2406.06853},
year = {2024}
}
Comments
13 pages