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arXiv · 1007.1498

Some comparison theorems for Kahler manifolds

Luen-Fai Tam·Chengjie Yu
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Abstract

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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Luen-Fai Tam, Chengjie Yu. 2010-10-11. Some comparison theorems for Kahler manifolds. https://arxiv.org/abs/1007.1498

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