Gap theorems in Yang-Mills theory for complete four-dimensional manifolds with positive Yamabe constant

2024/06/10 by Vieira, Matheus
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2406.06853

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.

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