A class of Finsler metrics of scalar flag curvature

It is known that every locally projectively flat Finsler metric is of scalar flag curvature. Conversely, it may not be true. In this paper, for a certain class of Finsler metrics, we prove that it is locally projectively flat if and only if it is of scalar flag curvature. Moreover, we establish a cl...

Full description

Saved in:
Bibliographic Details
Published in:Differential geometry and its applications 2015-06, Vol.40, p.321-331
Main Author: Zhu, Hongmei
Format: Article
Language:English
Subjects:
Finsler metric
Locally projectively flat
Scalar flag curvature
Spherically symmetric
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:It is known that every locally projectively flat Finsler metric is of scalar flag curvature. Conversely, it may not be true. In this paper, for a certain class of Finsler metrics, we prove that it is locally projectively flat if and only if it is of scalar flag curvature. Moreover, we establish a class of new non-trivial examples.
ISSN:0926-2245
1872-6984
DOI:10.1016/j.difgeo.2015.02.011