Compactness and rigidity of Kähler surfaces with constant scalar curvature

Abstract

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.

16 pages

References in corpus (2)

• An integrable generalization of the nonlinear Schrödinger equation on the half-line and solitons
• On Kähler manifolds with positive orthogonal bisectional curvature