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 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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