Hypersurfaces of C2-like Finsler Spaces


U.P.Singh, B.N. Gupta


The notion of $C2$-like Finesler spaces has been introduced by Matsumoto and Numata [1]. The purpose of the present paper is to study the properties of hypersurfaces immersed in $C2$-like Finsler spaces. We prove that each non-Riemannian hypersurface of a $C2$-like Finsler space is $C2$-like. The condition under which a hypersurface of a $C2$-like Landsberg space is Landsberg is obtained. Finally after using the so called $T$-conditions [6] we explore the situation in which a hypersurface of a $C2$-like Finsler space $F_n$ satisfying the $T$-conditions also satisfies the $T$-condition.