Some results on fundamental groups and Betti numbers of Finsler manifolds
type: Item
instance of: scholarly article
zbMATH Open document ID: 1242.53095
DOI: 10.1142/S0129167X12500632
author: Wei Zhao
author: Yi-Bing Shen
published in: International Journal of Mathematics
publication date: 2012-06-04T00:00:00Z
Mathematics Subject Classification ID: 53C60
Mathematics Subject Classification ID: 57R20
Mathematics Subject Classification ID: 58B20
zbMATH DE Number: 6042650
zbMATH Keywords: Finsler manifold
zbMATH Keywords: Ricci curvature
zbMATH Keywords: the first Betti number
zbMATH Keywords: fundamental group
MaRDI profile type: Publication
cites work: Ricci curvature and volume convergence
cites work: A sphere theorem for non-reversible Finsler metrics
cites work: Bounds on the fundamental group of a manifold with almost nonnegative Ricci curvature
cites work: Gromov pre-compactness theorems for nonreversible Finsler manifolds
cites work: On fundamental groups of Finsler manifolds
cites work: Volume comparison and its applications in Riemann-Finsler geometry
full work available at URL: s0129167x12500632
OpenAlex ID: W1998079124
title: Some results on fundamental groups and Betti numbers of Finsler manifolds
review text: The paper represents a study regarding the relationship between the Ricci curvature and the fundamental groups of Finsler manifolds. For compact Finsler manifolds, the authors give an estimate of the first Betti number and prove two finiteness theorems for fundamental groups. They consider the growth of fundamental groups of Finsler manifolds with almost-nonnegative Ricci curvature.
reviewed by: Oana Constantinescu
description: scientific article; zbMATH DE number 6042650