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arxiv: 1110.1749 · v1 · pith:VTAIKK2Lnew · submitted 2011-10-08 · 🧮 math.DG

An example of compact K\"ahler manifold with nonnegative quadratic bisectional curvature

classification 🧮 math.DG
keywords ahlercurvaturebisectionalmanifoldmetricnonnegativecompactquadratic
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We construct a compact K\"ahler manifold of nonnegative quadratic bisectional curvature, which does not admit any K\"ahler metric of nonnegative orthogonal bisectional curvature. The manifold is a 7-dimensional K\"ahler C-space with second Betti number equal to 1, and its canonical metric is a K\"ahler-Einstein metric of positive scalar curvature

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