PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 38(52), pp. 177182 (1985) 

HYPERSURFACES OF C2LIKE FINSLER SPACESU.P.Singh and B.N. GuptaDepartment of Mathematics, University of Gorakhpur, Gorakhpur 273001 India and Department of Mathematics, Post Graduate College, Ghazipur 233001, IndiaAbstract: 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 nonRiemannian 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. Classification (MSC2000): 53B40 Full text of the article:
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