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Jet Finsler-like geometry for the \(x\)-dependent conformal deformation of the quartic Berwald-Mo’ or metric. (English) Zbl 1488.53201

Summary: The aim of this paper is to develop on the 1-jet space \(J^1 (\mathbb{R}, M^4)\) 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-Moór metric of order four.

MSC:

53C60 Global differential geometry of Finsler spaces and generalizations (areal metrics)
83C22 Einstein-Maxwell equations
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