Einstein Hermitian Metrics of Positive Sectional Curvature

Published 18 Dec 2011 in math.DG | (1112.4181v3)

Abstract: In this paper we will prove that the only compact 4-manifold M with an Einstein metric of positive sectional curvature which is also hermitian with respect to some complex structure on M, is the complex projective plane CP^2, with its Fubini-Study metric.

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Caner Koca

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