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arxiv: math/0009117 · v2 · submitted 2000-09-12 · 🧮 math.DG · math.MG

Metrical Multi-Time Lagrange Geometry of Physical Fields

classification 🧮 math.DG math.MG
keywords fieldsmulti-timephysicalgeometrylagrangelagrangianmetricalanastasiei
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The author exposes the metrical multi-time Lagrange geometry of physical fields which naturally generalizes the classical Lagrangian developped by Miron and Anastasiei. In other words, one constructs a natural theory of physical fields on the 1-jet fibre bundle, attached to a Kronecker h-regular multi-time Lagrangian with partial derivatives of order one.

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