Tuesday, June 19, 2012

1206.3941 (Mustafa Kalafat et al.)

Einstein-Hermitian 4-Manifolds of Positive Bisectional Curvature    [PDF]

Mustafa Kalafat, Caner Koca
We show that a compact complex surface together with an Einstein-Hermitian metric of positive holomorphic bisectional curvature is biholomorphically isometric to the complex projective plane with its Fubini-Study metric up to rescaling. This result relaxes the Kaehler condition in Berger's theorem (1965), and the positivity condition on sectional curvature in a theorem proved by Koca.
View original: http://arxiv.org/abs/1206.3941

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