EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 38(52), pp. 177--182 (1985)

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HYPERSURFACES OF C2-LIKE FINSLER SPACES

U.P.Singh and B.N. Gupta

Department of Mathematics, University of Gorakhpur, Gorakhpur 273001 India and Department of Mathematics, Post Graduate College, Ghazipur 233001, India

Abstract: 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.

Classification (MSC2000): 53B40

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Electronic fulltext finalized on: 2 Nov 2001. This page was last modified: 16 Nov 2001.

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