The Geometry of Relativistic Rheonomic Lagrange Spaces

Abstract

The paper contains a geometrization of a time dependent Lagrangian function defined on the 1-jet space J^1(R,M) which identifies with R\times TM. The reader is invited to compare this geometrization with that developped by Miron and Anastasiei.

26 pages

References in corpus (3)

• The Geometry of Metrical Multi-time Lagrange Spaces
• Torsions and Curvatures on Jet Fibre Bundle J^1(T,M)
• Harmonic Maps between Generalized Lagrange Spaces

Cited by in corpus (9)

• A Relativistic Approach on 1-Jet Spaces of the Rheonomic Berwald-Moor Metric
• The Geometry of Autonomous Metrical Multi-Time Lagrange Space of Electrodynamics
• Geometric Dynamics of Plasma in Jet Spaces with Berwald-Moor Metric
• Canonical Nonlinear Connections on Jet Bundles of First Order
• The 1-jet Generalized Lagrange Geometry induced by the rheonomic Chernov metric
• Multi-Time Dependent Sprays and Harmonic Maps on $J^1(T,M)$
• 1-Jet Riemann-Finsler Geometry for the Three-Dimensional Time
• Local Bianchi Identities in the Relativistic Non-Autonomous Lagrange Geometry
• Jet Geometrical Objects Depending on a Relativistic Time