Compactness and rigidity of K\"{a}hler surfaces with constant scalar curvature
Differential Geometry
2013-04-04 v1
Abstract
A compactness theorem is proved for a family of K\"{a}hler 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.
Keywords
Cite
@article{arxiv.1304.0853,
title = {Compactness and rigidity of K\"{a}hler surfaces with constant scalar curvature},
author = {Hongliang Shao},
journal= {arXiv preprint arXiv:1304.0853},
year = {2013}
}
Comments
16 pages