An example of compact Kähler manifold with nonnegative quadratic bisectional curvature

Li, Qun; Wu, Damin; Zheng, Fangyang

doi:10.1090/S0002-9939-2013-11596-0

An example of compact Kähler manifold with nonnegative quadratic bisectional curvature
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by Qun Li, Damin Wu and Fangyang Zheng PDF

Proc. Amer. Math. Soc. 141 (2013), 2117-2126 Request permission

Abstract:

We construct a compact Kähler manifold of nonnegative quadratic bisectional curvature which does not admit any Kähler metric of nonnegative orthogonal bisectional curvature. The manifold is a 7-dimensional Kähler $C$-space with second Betti number equal to 1, and its canonical metric is a Kähler-Einstein metric of positive scalar curvature.

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