An example of compact K\"ahler manifold with nonnegative quadratic bisectional curvature
An example of compact K\"ahler manifold with nonnegative quadratic bisectional curvature
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DOI：
10.1090/s0002-9939-2013-11596-0
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发表时间：
2011-10
期刊：
影响因子：
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通讯作者：
Qun Li;Damin Wu;F. Zheng
中科院分区：
文献类型：
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作者：
Qun Li;Damin Wu;F. Zheng
构造了一个非负二次对分曲率的紧致K ahler流形，它不允许任何非负正交对分曲率的K ahler度量.该流形是一个第二Betti数等于1的7维K\“ahlerC-空间，其正则度量是一个正数量曲率的K\“ahler-Einstein度量
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