Abstract

Studying an $(\alpha, \beta)$-metrics is a central idea in Finsler geometry, which is a generalization of Randers metric. In this paper, we have derived the Cartan connection for the Finsler space whose metric is given by \textsl{h-}Randers exponential change and also obtained the condition under which the Finslerian hypersurface to be hyperplane of first, second and third kind.

Keywords and Phrases

Finsler space, hypersurface, Randers change, exponential change, \textsl{h-}vector.

A.M.S. subject classification

53B40.

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