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arXiv · 1304.0853

Compactness and rigidity of K\"{a}hler surfaces with constant scalar curvature

Hongliang Shao
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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.

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Hongliang Shao. 2013-04-03. Compactness and rigidity of K\"{a}hler surfaces with constant scalar curvature. https://arxiv.org/abs/1304.0853

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