On a class of Finsler metrics of scalar flag curvature defined by the Euclidean metric and related ‎‎1‎‎-forms

Author(s):

Mehran Gabrani *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
‎‎In this paper, we study a class of Finsler metrics called general spherically symmetric Finsler metrics which are defined by the Euclidean metric and related ‎‎1‎‎-forms. For a class of the metrics in ‎R‎n‎‎, we prove that it is projectively flat if and only if it is of scalar flag curvature.‎
Keywords:

General spherically symmetric Finsler metrics , projectively flat , flag curvature‎

Language:
English
Published:
Journal of Finsler Geometry and its Applications, Volume:2 Issue: 1, Aug 2021
Pages:
118 to 131
https://www.magiran.com/p2314370