Hessian comparison and eigenvalue estimate of almost Hermitian manifolds
Differential Geometry
2012-09-27 v1
Abstract
In this paper, by using the Bochner technique on almost Hermitian manifolds, we obtain a complex Hessian comparison for almost Hermitian manifolds generalizing the Laplacian comparison for almost Hermitian manifolds by Tossati, and reprove a diameter estimate for almost Hermitian manifolds by Gray. Moreover, we obtain a sharp eigenvalue estimate on quasi Kaehler manifolds and a sharp Hessian comparison on nearly Kaehler manifolds.
Keywords
Cite
@article{arxiv.1209.5990,
title = {Hessian comparison and eigenvalue estimate of almost Hermitian manifolds},
author = {Chengjie Yu},
journal= {arXiv preprint arXiv:1209.5990},
year = {2012}
}
Comments
20 pages