1-Jet Riemann-Finsler Geometry for the Three-Dimensional Time

Abstract

The aim of this paper is to develop on the 1-jet space J^1(R,M^3) the Finsler-like geometry (in the sense of distinguished (d-) connection, d-torsions and d-curvatures) of the rheonomic Berwald-Moor metric of order three. Some natural geometrical field theories (gravitational and electromagnetic) produced by the preceding rheonomic Berwald-Moor metric of order three are also exposed.

14 pages

References in corpus (2)

• The Geometry of Relativistic Rheonomic Lagrange Spaces
• A Relativistic Approach on 1-Jet Spaces of the Rheonomic Berwald-Moor Metric