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.
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Zeinali Laki, M. (2020). On generalized symmetric Finsler spaces with some special (α, β)−metrics. Journal of Finsler Geometry and its Applications, 1(1), 45-53. doi: 10.22098/jfga.2020.1009
MLA
Milad Zeinali Laki. "On generalized symmetric Finsler spaces with some special (α, β)−metrics", Journal of Finsler Geometry and its Applications, 1, 1, 2020, 45-53. doi: 10.22098/jfga.2020.1009
HARVARD
Zeinali Laki, M. (2020). 'On generalized symmetric Finsler spaces with some special (α, β)−metrics', Journal of Finsler Geometry and its Applications, 1(1), pp. 45-53. doi: 10.22098/jfga.2020.1009
VANCOUVER
Zeinali Laki, M. On generalized symmetric Finsler spaces with some special (α, β)−metrics. Journal of Finsler Geometry and its Applications, 2020; 1(1): 45-53. doi: 10.22098/jfga.2020.1009
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