Some Properties of a Finsler Space with the Metric L(x, y)= γ(x, y) Φ(β/γ)

Abstract

In the paper, we consider an n-dimensional Finsler space
( 2) n F n  with the metric L(x, y)= (x, y) s, where
s


 and (s) is a differentiable function with respect to s,  is a
differential one form and  is cubic metric. We obtain expressions for
the fundamental metric tensor, Cartan tensor, geodesic spray
coefficients and the equation of geodesics in a Finsler space with the
above metric. Some other properties of such space have also been
discussed.