Jet Geometrical Objects Depending on a Relativistic Time

Details Jet Geometrical Objects Depending on a Relativistic Time Jet Geometrical Objects Depending on a Relativistic Time

2008-01-15

arxiv.org/abs/0801.2369v2

Analele Stiintifice ale Universitatii "Al.I. Cuza" din Iasi (S.N.). Matematica, Tomul LVI, f.2 (2010), 407-428

Mathematics

Differential Geometry

19 pages; The author thanks the referee of Analele Stiintifice ale Universitatii "Al.I.Cuza" din Iasi. Matematica for its rema

Scientific paper

10.2478/v10157-010-0029-1

In this paper we study a collection of jet geometrical concepts, we refer to d-tensors, relativistic time dependent semisprays, harmonic curves and nonlinear connections on the 1-jet space J1(R;M), necessary to the construction of a Miron's-like geometrization for Lagrangians depending on a relativistic time. The geometrical relations between these jet geometrical objects are exposed.

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