Non-Symplectic Geometry of First Order Time-Dependent Mechanics

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dc.creatorSardanashvily, G.
dc.date1997-10-04
dc.date.accessioned2026-07-07T03:24:31Z
dc.date.available2026-07-07T03:24:31Z
dc.descriptionThe usual formulation of time-dependent mechanics implies a given splitting $Y=R\times M$ of an event space $Y$. This splitting, however, is broken by any time-dependent transformation, including transformations between inertial frames. The goal is the frame-covariant formulation of time-dependent mechanics on a bundle $Y\to R$ whose fibration $Y\to M$ is not fixed. Its phase space is the vertical cotangent bundle $V^*Y$ provided with the canonical 3-form and the corresponding canonical Poisson structure. An event space of relativistic mechanics is a manifold $Y$ whose fibration $Y\to R$ is not fixed.
dc.description24 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/dg-ga/9710003
dc.identifierhttp://arxiv.org/abs/dg-ga/9710003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/33352
dc.subjectDifferential Geometry
dc.titleNon-Symplectic Geometry of First Order Time-Dependent Mechanics
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