arXiv subjects

Hongliang Shao

Publications and source records attributed to Hongliang Shao.

2 recordsLinked to original sources

arXiv2013

Compactness and rigidity of Kähler surfaces with constant scalar curvature

A compactness theorem is proved for a family of Kähler surfaces with constant scalar curvature and volume bounded from below, diameter bounded from above, Ricci curvature bounded and the signature bounded from below. Furthermore, a splitting theorem and some rigidity theorems are proved for Einstein-Maxwell systems.

math.DG↗

arXiv2012

Convergence of Einstein Yang-Mills Systems

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, $L^{2}$-norms of bundle curvatures and $L^{\frac{n}{2}}$-norms of curvature tensors. This result is a generalization of earlier compactness theorems for Einstein manifolds.

math.DG↗