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

Document Type : Original Article

Author

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

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.‎

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