An example of compact K\"ahler manifold with nonnegative quadratic bisectional curvature
Differential Geometry
2011-10-11 v1
Abstract
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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Cite
@article{arxiv.1110.1749,
title = {An example of compact K\"ahler manifold with nonnegative quadratic bisectional curvature},
author = {Qun Li and Damin Wu and Fangyang Zheng},
journal= {arXiv preprint arXiv:1110.1749},
year = {2011}
}
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11 pages