Geodesic
Hypersurfaces of C2-like Finsler Spaces
Publications de l'Institut Mathématique, _N_S_38 (1985) no. 52, p. 177

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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 : 53B40 
@article{PIM_1985_N_S_38_52_a22,
     author = {U.P. Singh and B.N. Gupta},
     title = {Hypersurfaces of {C2-like} {Finsler} {Spaces}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {177 },
     publisher = {mathdoc},
     volume = {_N_S_38},
     number = {52},
     year = {1985},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1985_N_S_38_52_a22/}
}
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U.P. Singh; B.N. Gupta. Hypersurfaces of C2-like Finsler Spaces. Publications de l'Institut Mathématique, _N_S_38 (1985) no. 52, p. 177 . http://geodesic.mathdoc.fr/item/PIM_1985_N_S_38_52_a22/