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Zeinali Laki, Milad. (1399). On generalized symmetric Finsler spaces with some special (α, β)−metrics. سامانه مدیریت نشریات علمی, 1(1), 45-53. doi: 10.22098/jfga.2020.1009
Milad Zeinali Laki. "On generalized symmetric Finsler spaces with some special (α, β)−metrics". سامانه مدیریت نشریات علمی, 1, 1, 1399, 45-53. doi: 10.22098/jfga.2020.1009
Zeinali Laki, Milad. (1399). 'On generalized symmetric Finsler spaces with some special (α, β)−metrics', سامانه مدیریت نشریات علمی, 1(1), pp. 45-53. doi: 10.22098/jfga.2020.1009
Zeinali Laki, Milad. On generalized symmetric Finsler spaces with some special (α, β)−metrics. سامانه مدیریت نشریات علمی, 1399; 1(1): 45-53. doi: 10.22098/jfga.2020.1009

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
مراجع
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