H-exponential change of Finsler metric

TL;DR

This paper investigates a specific type of Finsler space with an h-exponential change in its metric, deriving connection coefficients and conditions for projectiveness to deepen understanding of its geometric properties.

Contribution

It introduces the concept of h-exponential change in Finsler metrics and derives conditions for projectiveness, expanding the theoretical framework of Finsler geometry.

Findings

Derived Cartan connection coefficients for h-exponential changed Finsler metrics

Established necessary and sufficient conditions for projectiveness under h-exponential change

Enhanced understanding of geometric properties of Finsler spaces with exponential metric modifications

Abstract

In this paper, we studied a Finsler space whose metric is given by an h-exponential change and obtain the Cartan connection coefficients for the change. We also find the necessary and sufficient condition for an h-exponential change of Finsler metric to be projective.