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