Gap theorems in Yang-Mills theory for complete four-dimensional manifolds with a weighted Poincaré inequality

2019/01/16 by Vieira, Matheus
#Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1901.05421

Abstract

In this paper we prove gap theorems in Yang-Mills theory for complete four-dimensional manifolds with a weighted Poincaré inequality. We apply the theorems to many examples of manifolds. We also prove a uniqueness theorem for the basic instanton.

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