Hypersurface of a Finsler Space Subjected to a Kropina Change with an h-Vector

Abstract

The concept of h-vector was introduced by Izumi (Tensor NS 34:337–359, 1980). Recently we have obtained the Cartan connection for the Finsler space whose metric is given by Kropina change with an h-vector. Matsumoto (J Math Kyoto Univ 25–1:107–144, 1985) studied the theory of Finsler hypersurface. In this paper, we derive certain geometrical properties of a Finslerian hypersurface subjected to a Kropina change with an h-vector.