Name: Geometrization of classical mechanics
Creator: F. Ghaboussi
Keywords: Hamilton's equations, gauge structure, symplectic form, Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics, 0103 physical sciences, 0101 mathematics, connection form, 01 natural sciences, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1993 English Publisher:AIP PublishingJournal:Journal of Mathematical Physics, volume 34, pages 4,000-4,006 (issn: 0022-2488, eissn: 1089-7658,

Authors: F. Ghaboussi;

doi: 10.1063/1.530020

Geometrization of classical mechanics

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Abstract

In this paper, it is shown that the symplectic description of the Hamiltonian mechanics contains a gauge structure, where the symplectic form acts as connection form.

Keywords

Hamilton's equations, gauge structure, symplectic form, Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics, connection form, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems

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