T3-Like Finsler Spaces

Abstract

In 1972, T-tensor in a Finsler space of n- dimensions was introduced and studied simultaneously by H. Kawaguchi [3] and Matsumoto [5]. Several papers related with T-tensor , since then, have been published by various authors namely Hashiguchi [1] , Matsumoto [6]. Matsumoto and Shimada [7,8] , Rastogi [10,11] and others. The purpose of the present paper is to study some properties of T-tensor in a Finsler space of three dimensions. Furthermore, we have defined and studied Finsler spaces Fn, whose T-tensor is of special form and called them T3-like Finsler spaces