English

Convergence of Einstein Yang-Mills Systems

Differential Geometry 2012-01-04 v1

Abstract

In this paper, we prove a convergence theorem for sequences of Einstein Yang-Mills systems on U(1)U(1) -bundles over closed nn-manifolds with some bounds for volumes, diameters, L2L^{2}-norms of bundle curvatures and Ln2L^{\frac{n}{2}}-norms of curvature tensors. This result is a generalization of earlier compactness theorems for Einstein manifolds.

Keywords

Cite

@article{arxiv.1201.0338,
  title  = {Convergence of Einstein Yang-Mills Systems},
  author = {Hongliang Shao},
  journal= {arXiv preprint arXiv:1201.0338},
  year   = {2012}
}
R2 v1 2026-06-21T19:58:58.830Z