Some comparison theorems for Kahler manifolds
Differential Geometry
2010-10-12 v2
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 .
Cite
@article{arxiv.1007.1498,
title = {Some comparison theorems for Kahler manifolds},
author = {Luen-Fai Tam and Chengjie Yu},
journal= {arXiv preprint arXiv:1007.1498},
year = {2010}
}
Comments
14 pages