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On generalized symmetric Finsler spaces with some special (α, β)−metrics | ||
| Journal of Finsler Geometry and its Applications | ||
| دوره 1، شماره 1، مهر 2020، صفحه 45-53 اصل مقاله (79.02 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22098/jfga.2020.1009 | ||
| نویسنده | ||
| Milad Zeinali Laki* | ||
| Department of Mathematics, University of Mohaghegh Ardabili, p.o.box. 5619911367, Ardabil-Iran. E-mail: miladzeinali@hotmail.com | ||
| چکیده | ||
| In this paper, we study generalized symmetric Finsler spaces with Matsumoto metric, infinite series metric and exponential metric.The definition of generalized symmetric Finsler spaces is a natural generalization of the definition of Riemannian generalized symmetric spaces. We prove that generalized symmetric (α, β)−spaces with Matsumoto metric, infinite series metric and exponential metric are Riemannian. We also prove that if (M, F) be a generalized symmetric Matsumoto space with F defined by the Riemannian metric a~ and the vector field X, Then the regular s−structure {sx} of (M, F) is also a regular s−structure of the Riemannian manifold (M, ã) and if (M, ã) be a generalized symmetric Riemannian space and Also suppose that F is a Matsumoto metric introduced by ã and a vector field X, Then the regular s−structure {sx} of (M, ã) is also a regular s−structure of (M, F) if and only if X is sx−invariant for all x in M. | ||
| کلیدواژهها | ||
| (α؛ β)−metric؛ Matsumoto metric؛ infinite series metric؛ exponential metric | ||
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آمار تعداد مشاهده مقاله: 228 تعداد دریافت فایل اصل مقاله: 254 |
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