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On a class of Finsler metrics of scalar flag curvature defined by the Euclidean metric and related 1-forms | ||
Journal of Finsler Geometry and its Applications | ||
دوره 2، شماره 1، آبان 2021، صفحه 118-131 اصل مقاله (96.08 K) | ||
نوع مقاله: Original Article | ||
شناسه دیجیتال (DOI): 10.22098/jfga.2021.1269 | ||
نویسنده | ||
Mehran Gabrani ![]() | ||
Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran. E-mail: m.gabrani@urmia.ac.ir | ||
چکیده | ||
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. | ||
کلیدواژهها | ||
General spherically symmetric Finsler metrics؛ projectively flat؛ flag curvature | ||
آمار تعداد مشاهده مقاله: 133 تعداد دریافت فایل اصل مقاله: 98 |