On a class of Finsler metrics of scalar flag curvature defined by the Euclidean metric and related ‎‎۱‎‎-forms

Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_JFGA-2-1_010

تاریخ نمایه سازی: 18 آبان 1402

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 ‎‎۱‎‎-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

Authors

Mehran Gabrani

Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran. E-mail: m.gabrani@urmia.ac.ir