Kahler manifolds with Ricci curvature lower bound

Details Kahler manifolds with Ricci curvature lower bound Kahler manifolds with Ricci curvature lower bound

2011-08-22

arxiv.org/abs/1108.4232v1

Mathematics

Differential Geometry

32 pages

Scientific paper

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.

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