Compactness and rigidity of Kähler surfaces with constant scalar curvature

Published 3 Apr 2013 in math.DG | (1304.0853v1)

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

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