On an R-Randers mth-Root Space

الملخص EN

We consider an n-dimensional Finsler space Fn(n>2) with the metric L(x,y)=F(x,y)+α(x,y), where F is an mth-root metric and α is a Riemannian metric.

We call such space as an R-Randers mth-root space.

We obtain the expressions for the fundamental metric tensor, Cartan tensor, geodesic spray coefficients, and the coefficients of nonlinear connection in an R-Randers mth-root space.

Some other properties of such space have also been discussed.