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Research Article

ON \textsl{h-}RANDERS EXPONENTIAL CHANGE OF FINSLER METRIC

M
M. K. Gupta Department of Mathematics, Guru Ghasidas Vishwavidyalaya, Bilaspur, Chhattisgarh, INDIA
S
Suman Sharma Department of Mathematics, Guru Ghasidas Vishwavidyalaya, Bilaspur, Chhattisgarh, INDIA
Volume 19, Issue 2 Pages 345-358 August 30, 2023 230 downloads
Article overview

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 spacehypersurfaceRanders changeexponential change\textsl{h-}vector.

AMS Subject Classification

53B40.

Reference information

How to Cite

M. K. Gupta, Suman Sharma (2023). ON \textsl{h-}RANDERS EXPONENTIAL CHANGE OF FINSLER METRIC. South East Asian Journal of Mathematics and Mathematical Sciences, 19(2), 345-358.
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