ON h-RANDERS EXPONENTIAL CHANGE OF FINSLER METRIC

M.K Gupta; Suman Sharma

doi:10.56827/SEAJMMS.2023.1902.26

M.K Gupta Department of Mathematics, Guru Ghasidas Vishwavidyalaya, Bilaspur, Chhattisgarh, INDIA
Suman Sharma Department of Mathematics, Guru Ghasidas Vishwavidyalaya, Bilaspur, Chhattisgarh, INDIA

DOI: https://doi.org/10.56827/SEAJMMS.2023.1902.26

Keywords: Finsler space, hypersurface, Randers change, exponential change, h-vector

Abstract

Studying an (Alpha, β)-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 h-Randers exponential change and also obtained the condition under which the Finslerian hypersurface to be hyperplane of first, second and third kind.