Jet Finsler-like geometry for the x-dependent conformal deformation of an one-parameter family of Berwald-Moor metrics of order four

Abstract

The aim of this paper is to develop on the 1-jet space J¹(R,M⁴) the Finslerlike geometry (in the sense of distinguished (d-) connection, d-torsions, d-curvatures and some gravitational-like and electromagnetic-like geometrical models) for the x-conformal deformed rheonomic Berwald-Mo´or metric of order four.