ON h-RANDERS EXPONENTIAL CHANGE OF FINSLER METRIC

Authors

  • 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 (α, 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.

Published

2023-08-30