Convergence of Einstein Yang-Mills Systems

2012/01/01 by Shao, Hongliang
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1201.0338

Abstract

In this paper, we prove a convergence theorem for sequences of Einstein Yang-Mills systems on U(1) -bundles over closed n-manifolds with some bounds for volumes, diameters, L²-norms of bundle curvatures and L^(n)/(2)-norms of curvature tensors. This result is a generalization of earlier compactness theorems for Einstein manifolds.

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