An example of compact Kähler manifold with nonnegative quadratic bisectional curvature

Details An example of compact Kähler manifold with nonnegative quadratic bisectional curvature An example of compact Kähler manifold with nonnegative quadratic bisectional curvature

2011-10-08

arxiv.org/abs/1110.1749v1

Mathematics

Differential Geometry

11 pages

Scientific paper

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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