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arxiv: 0801.2369 · v2 · pith:UI7D66A6new · submitted 2008-01-15 · 🧮 math.DG

Jet Geometrical Objects Depending on a Relativistic Time

classification 🧮 math.DG
keywords geometricalrelativistictimedependingobjectscollectionconceptsconnections
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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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