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

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

2010-02-23

arxiv.org/abs/1002.4379v2

Hypercomplex Numbers in Geometry and Physics, No. 2 (14), Vol. 7 (2010), 47--60

Mathematics

Differential Geometry

14 pages

Scientific paper

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.

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