Open Access
January 2014 Kähler manifolds with Ricci curvature lower bond
Gang Liu
Asian J. Math. 18(1): 69-100 (January 2014).


On Kähler 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 Kähler structure.


Download Citation

Gang Liu. "Kähler manifolds with Ricci curvature lower bond." Asian J. Math. 18 (1) 69 - 100, January 2014.


Published: January 2014
First available in Project Euclid: 27 August 2014

zbMATH: 1306.53023

Primary: 53C20 , 53C55

Keywords: Comparison theorem , Kähler manifold

Rights: Copyright © 2014 International Press of Boston

Vol.18 • No. 1 • January 2014
Back to Top