Kahler manifolds with Ricci curvature lower bound
Differential Geometry
2011-08-23 v1
Abstract
On Kahler manifolds with Ricci curvature bounded from below, we establish some theorems which are counterparts of some classical theorems in Riemannian geometry, for example, Bishop-Gromov's relative volume comparison, Bonnet-Meyers theorem, and Yau's gradient estimate for positive harmonic functions. The tool is a Bochner type formula reflecting the Kahler structure.
Keywords
Cite
@article{arxiv.1108.4232,
title = {Kahler manifolds with Ricci curvature lower bound},
author = {Gang Liu},
journal= {arXiv preprint arXiv:1108.4232},
year = {2011}
}
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32 pages