On a class of locally projectively flat Finsler metrics (II)
type: Item
instance of: scholarly article
title: On a class of locally projectively flat Finsler metrics (II)
zbMATH Open document ID: 1411.53019
author: Yali Feng
author: Qiaoling Xia
published in: Differential Geometry and its Applications
publication date: 2019-03-21T00:00:00Z
review text: The authors investigate an interesting class of Finsler metrics, namely the general \((\alpha, \beta)\)-metrics. This class of metrics are defined as we know by a Riemannian metric \(\alpha\) and a 1-form \(\beta\). The authors give an equivalent characterization of locally projectively flat general \((\alpha, \beta)\)-metrics on an \(n\)-dimensional manifold, \(n\geq 3\), which generalizes some well-known results, and also, they obtain a series of new locally projectively flat Finsler metrics. The paper consist of 5 sections. In Section 4, the authors find some necessary conditions for general \((\alpha, \beta)\)-metrics to be locally projectively flat. In conclusion, the paper is interesting, the authors obtains new and interesting results in Finsler geometry, very useful in the study of the general \((\alpha, \beta)\)-metrics.
Mathematics Subject Classification ID: 53B40
Mathematics Subject Classification ID: 53C60
zbMATH DE Number: 7039987
zbMATH Keywords: Finsler metrics
zbMATH Keywords: general \((\alpha, \beta)\)-metric
zbMATH Keywords: locally projectively flat
reviewed by: Laurian Ioan Piscoran
Wikidata QID: Q115355050
MaRDI profile type: Publication
full work available at URL: j.difgeo.2018.09.004
OpenAlex ID: W2895096636
cites work: Q4226350
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DOI: 10.1016/J.DIFGEO.2018.09.004
description: scientific article; zbMATH DE number 7039987