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On compact L-reducible Finsler manifolds | ||
Journal of Finsler Geometry and its Applications | ||
مقاله 5، دوره 2، شماره 1، مهر 2021، صفحه 63-74 اصل مقاله (91.89 K) | ||
نوع مقاله: Original Article | ||
شناسه دیجیتال (DOI): 10.22098/jfga.2021.1264 | ||
نویسنده | ||
Asmaa Ghasemi* | ||
Department of Mathematics, Faculty of Science, University of Hormozgan Bandar-Abbas, Iran E-mail: ghasemi.asmaa@gmail.com | ||
چکیده | ||
The class of L-reducible Finsler metric was introduced by Matsumoto as a generalization of Randers metrics. One open problems in Finsler Geometry is to find a L-reducible metric which is not of Randers-type. Let (M,F) be a compact 3-dimensional L-reducible metric. Suppose that F has constant relatively isotropic mean Landsberg curvature. Then we show that F reduces to a Randers metric. | ||
کلیدواژهها | ||
L-reducible metric؛ Randers metric؛ Landsberg metric | ||
آمار تعداد مشاهده مقاله: 131 تعداد دریافت فایل اصل مقاله: 165 |