On the special concircular h-curvature collineation in a bi-recurrent Finsler space

Abstract

A con-circular transformation in Riemannian spaces was studied in a series of papers by Yano (1940, 42) and Okumura (1962), has developed a similar transformation in non-Riemannian symmetric space. The concept of special con-circular projective curvature collineation in a Recurrent Finsler space was developed by Singh (2001). He discussed some basic properties of afore-said transformation in Recurrent Finsler space. The object of present paper is to discuss the special con-circular H-curvature collineation in Bi-recurrent Finsler space. The necessary condition for existence of such transformation in Birecurrent Finsler space has been established. We have also discussed some fundamental properties of such transformation in afore-said space.