On a class of projectively flat Finsler metrics
type: Item
instance of: scholarly article
title: On a class of projectively flat Finsler metrics
zbMATH Open document ID: 1338.53047
author: Qiaoling Xia
published in: Differential Geometry and its Applications
publication date: 2015-12-23T00:00:00Z
review text: The author classifies locally projectively flat general \((\alpha,\beta)\)-metrics of the form \(F=\alpha\varphi(b^2,\frac{\beta}{\alpha})\) on an \(n\)-dimensional manifold, \(n\geqslant 3\), for the case when \(\alpha\) is of constant sectional curvature and \(\varphi_1\neq 0\), i.e., \(\varphi\) essentially depends on its first argument. Furthermore, the equations which characterize this class of metrics with constant flag curvature are found, and their local structures are determined.
reviewed by: Vladimir Balan
Mathematics Subject Classification ID: 53B40
Mathematics Subject Classification ID: 53C60
zbMATH DE Number: 6523970
zbMATH Keywords: general \((\alpha,\beta)\)-metric
zbMATH Keywords: projectively flat
zbMATH Keywords: flag curvature
zbMATH Keywords: constant sectional curvature
MaRDI profile type: Publication
full work available at URL: j.difgeo.2015.10.002
OpenAlex ID: W2179806327
Wikidata QID: Q115355818
cites work: Q4226350
cites work: Q4893269
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DOI: 10.1016/J.DIFGEO.2015.10.002
description: scientific article; zbMATH DE number 6523970