Hypersurface of a Finsler space subjected to a Kropina change with an h-vector

TL;DR

This paper investigates the geometric properties of Finsler hypersurfaces undergoing a Kropina change influenced by an h-vector, expanding understanding of Finsler geometry transformations.

Contribution

It derives new geometrical properties of Finsler hypersurfaces under Kropina change with an h-vector, building on previous work on Cartan connection and hypersurface theory.

Findings

Derived geometrical properties of Finsler hypersurfaces under Kropina change

Extended the theory of Finsler spaces with h-vector influence

Connected Kropina change effects with hypersurface geometry

Abstract

The concept of h-vector was introduced by H. Izumi in 1980. Recently we have obtained the Cartan connection for the Finsler space whose metric is given by Kropina change with an h-vector. In 1985, M. Matsumoto studied the theory of Finsler hypersurface. In this paper, we derive certain geometrical properties of a Finslerian hypersurface subjected to a Kropina change with an h-vector