Hessian comparison and eigenvalue estimate of almost Hermitian manifolds

Chengjie Yu

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arXiv · 1209.5990

Hessian comparison and eigenvalue estimate of almost Hermitian manifolds

Chengjie Yu

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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.

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Chengjie Yu. 2012-09-26. Hessian comparison and eigenvalue estimate of almost Hermitian manifolds. https://arxiv.org/abs/1209.5990

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