Some theorems related to the Jacobi variational principle of analytical dynamics

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dc.creatorBażański, Stanisław L.
dc.date2005-03-30
dc.date.accessioned2026-07-07T04:31:58Z
dc.date.available2026-07-07T04:31:58Z
dc.descriptionIt is shown that there exists a commuting diagram of mappings between dynamics of classical systems on one side and variational principles for geodesic lines in stationary spacetimes of general relativity on the other. The construction of the mappings is based on classical Routh's and Jacobi's procedures and on corresponding inverse procedures which are reviewed in the paper.
dc.descriptionSubmitted to a prepared volume in celebration of 75-th birthday of Jerzy Plebanski
dc.identifierhttps://arxiv.org/abs/math-ph/0503072
dc.identifierhttp://arxiv.org/abs/math-ph/0503072
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58021
dc.subjectMathematical Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectPrimary: 70H30, 53B30. Secondary: 83C20, 53B50, 83-02
dc.titleSome theorems related to the Jacobi variational principle of analytical dynamics
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