Dynamic Connections in Analytical Mechanics

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dc.creatorMangiarotti, L.
dc.creatorSardanashvily, G.
dc.date1998-05-27
dc.date.accessioned2026-07-07T04:32:24Z
dc.date.available2026-07-07T04:32:24Z
dc.descriptionIt is shown that any dynamic equation on a configuration bundle $Q\to R$ of non-relativistic time-dependent mechanics is associated with connections on the affine jet bundle $J^1Q\to Q$ and on the tangent bundle $TQ\to Q$. As a consequence, any non-relativistic dynamic equation can be seen as a geodesic equation with respect to a (non-linear) connection on the tangent bundle $TQ\to Q$. Using this fact, the relationship between relativistic and non-relativistic equations of motion is studied. The geometric notions of reference frames and relative accelerations in non-relativistic mechanics are introduced in the terms of connections. The covariant form of non-relativistic dynamic equations is written.
dc.description21 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math-ph/9805024
dc.identifierhttp://arxiv.org/abs/math-ph/9805024
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58178
dc.subjectMathematical Physics
dc.titleDynamic Connections in Analytical Mechanics
dc.typetext

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