MOTION WITH CONTRA FIELD IN FINSLER SPACES

Abstract

An affine motion of special type was developed in non-Riemannian K*-spaces by Takano [5]. He called such a motion an affine motion with contra field. The same concept was extended to Finsler spaces by Misra and Meher [1]. Later, the same authors [2] studied CA-motion in a projective symmetric Finsler space. An affine motion satisfying the condition υⁱ _(j) = ρδⁱ _j, where ρ(x, x) is a non-zero scalar function, is called affine motion with contra field or briefly CA-motion. Recently the present author [4] has discussed projective motion in Finsler space F _n. The purpose of this paper is to study affine and projective motions with contra field in Finsler spaces. The notations of Rund [3] are used in the sequel.