On the classification of weakly symmetric Finsler spaces
type: Item
instance of: scholarly article
title: On the classification of weakly symmetric Finsler spaces
zbMATH Open document ID: 1216.53065
author: Shaoqiang Deng
published in: Israel Journal of Mathematics
publication date: 2011-05-05T00:00:00Z
review text: The first part of this paper is devoted to a general principle to classify non-Riemannian weakly symmetric Finsler spaces. Namely, if a connected manifold admits a weakly symmetric Finsler metric, then it admits also a weakly symmetric Riemannian metric. Rank one symmetric Riemannian manifolds are carefully studied and a complete list of weakly symmetric non-Riemannian Finsler spaces among these manifolds is obtained. Secondly, weakly symmetric Finsler metrics of Berwald type are analyzed and the author obtains a large class of reversible Finsler spaces with vanishing \(S\)-curvature.
reviewed by: Radu Miron
Mathematics Subject Classification ID: 53C60
Mathematics Subject Classification ID: 53C25
zbMATH DE Number: 5884595
zbMATH Keywords: weakly symmetric Finsler metric
zbMATH Keywords: rank one symmetric Riemannian manifolds
zbMATH Keywords: Berwald type
MaRDI profile type: Publication
full work available at URL: s11856-011-0002-z
OpenAlex ID: W1966343801
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DOI: 10.1007/S11856-011-0002-Z
description: scientific article; zbMATH DE number 5884595