PROJECTIVE CURVATURE COLLINEATION IN FINSLER SPACES

Abstract

The present author (1984, 1987) has developed curvature collineation in Finsler spaces. Projective motion in a symmetric Finsler space was discussed by F.M. Meher (1972). An infinitesimal transformation is said to define a curvature collineation if the curvature tensor possesses vanishing Lie-derivative with respect to the transformation. The present paper is concerned with the study of curvature collineation in which infinitesimal transformation also admits projective motion in a Finsler space. The last section of this paper is devoted to discuss special cases where the vector field Vⁱ(x) determines contra field and current field.