On quadratic orthogonal bisectional curvature

Details On quadratic orthogonal bisectional curvature On quadratic orthogonal bisectional curvature

2011-08-31

arxiv.org/abs/1108.6252v1

Mathematics

Differential Geometry

14 pages

Scientific paper

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

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