Comparison theorems and their applications on Kähler Finsler manifolds
type: Item
instance of: scholarly article
title: Comparison theorems and their applications on Kähler Finsler manifolds
zbMATH Open document ID: 1467.53080
author: Xi Zhang
author: Songting Yin
published in: The Journal of Geometric Analysis
publication date: 2020-04-07T00:00:00Z
review text: The current paper deals with comparision theorems and their applications on Kähler Finsler manifolds. The authors obtain complex Hessian and Laplacian comparision theorems on Kähler Finsler manifolds with holomorphic bisectional curvature bounded from below. As applications, they prove a Bishop-type volume comparision theorem and a Myers-type theorem for Kähler Finsler manifolds. Moreover, they also obtain some comparision theorems for the first eigenvalue of Finsler-Laplacian and give a sharp upper estimate of the bottom of the spectrum for Kähler Finsler manifolds whose holomorphic bisectional curvature is bounded from below by $-1$.
reviewed by: Gauree Shanker
Mathematics Subject Classification ID: 53C60
Mathematics Subject Classification ID: 53B40
Mathematics Subject Classification ID: 53B35
zbMATH DE Number: 7187383
zbMATH Keywords: Kähler Finsler manifold
zbMATH Keywords: comparision theorem
zbMATH Keywords: holomorphic bisectional curvature
zbMATH Keywords: S-curvature
MaRDI profile type: Publication
full work available at URL: s12220-017-9950-9
OpenAlex ID: W2765354306
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DOI: 10.1007/S12220-017-9950-9
description: scientific article; zbMATH DE number 7187383