Some comparison theorems for Kahler manifolds

Details Some comparison theorems for Kahler manifolds Some comparison theorems for Kahler manifolds

2010-07-09

arxiv.org/abs/1007.1498v2

Mathematics

Differential Geometry

14 pages

Scientific paper

In this work, we will verify some comparison results on Kahler manifolds. They are complex Hessian comparison for the distance function from a closed complex submanifold of a Kahler manifold with holomorphic bisectional curvature bounded below by a constant, eigenvalue comparison and volume comparison in terms of scalar curvature. This work is motivated by comparison results of Li and Wang .

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