On quadratic orthogonal bisectional curvature
On quadratic orthogonal bisectional curvature
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DOI：
10.4310/jdg/1352297805
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发表时间：
2011-08
影响因子：
2.5
通讯作者：
Albert Chau;Luen-Fai Tam
中科院分区：
文献类型：
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作者：
Albert Chau;Luen-Fai Tam
本文研究了在对分曲率上满足一定非负条件的紧K\ahler流形。在此条件下，我们证明了标量曲率是非负的，并且在局部不可约的条件下，第一类Chern是正的。在这种情况下，我们也得到了普遍覆盖的可能de Rham分解的部分分类
In this article we study compact K\ahler manifolds satisfying a certain nonnegativity condition on the bisectional curvature. Under this condition, we show that the scalar curvature is nonnegative and that the first Chern class is positive assuming local irreducibility. We also obtain a partial classification of possible de Rham decompositions of the universal cover under this condition