On the Jacobi metric for a general Lagrangian system

DOI10.1063/1.5124142zbMath1455.70011arXiv1912.08053OpenAlexW2990161500WikidataQ126663922 ScholiaQ126663922MaRDI QIDQ5206042

Paolo Maraner

Publication date: 17 December 2019

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.08053

Mathematics Subject Classification ID

Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40) Lagrange's equations (70H03)

Related Items (3)

Electromagnetic and gravitational interactions from Lagrangian mechanics ⋮ Deflection of charged massive particles by a four-dimensional charged Einstein–Gauss–Bonnet black hole ⋮ Systems of second order differential equations as auto-parallel equations

Cites Work

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• Finsler geodesics of Lagrangian systems through Routh reduction
• The geometry of Ingarden spaces
• Finsler geometry, relativity and gauge theories
• Curvature and mechanics
• A Finsler generalisation of Einstein's vacuum field equations
• On the history of unified field theories
• The geometry of Lagrange spaces: theory and applications
• On the history of unified field theories. II. (ca. 1930 -- ca. 1965)
• Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
• The Jacobi metric for timelike geodesics in static spacetimes
• The connections of pseudo-Finsler spaces
• The brachistochrone problem in a stationary space-time
• Finsler geometry as a model for relativistic gravity
• Geometry of spaces with the Jacobi metric
• Indefinite Finsler Spaces and Timelike Spaces
• Lagrange geometry

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