Projective Change between Special (α,β)- Finsler Metric and Rander’s Metric

Finsler geometry is originated from Differential geometry. Finsler geometry is Riemannian metric without quadratic restriction. In Finsler space we see special metrics such as Randers metric, Kropina metric and Matsumoto metric.,etc. Projective change between two Finsler metrics arise from Information Geometry. Such metrics have special geometric properties and will play an important role in Finsler geometry. In this paper,we are going to study class of Projective change between two s, which are defined as the sum of a Riemannian metric and .

Keywords: Finsler metric, Special Finsler metric, , Douglas Space, Geodesic, Spray coefficients, Projectively related metric, Projective change between two metrics