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• W1656137789 abstract "The usual formulation of time-dependent mechanics implies a given splitting $Y=Rtimes M$ 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 $Yto R$ whose fibration $Yto M$ 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 $Yto R$ is not fixed." @default.
• W1656137789 created "2016-06-24" @default.
• W1656137789 creator A5038788571 @default.
• W1656137789 date "1997-10-04" @default.
• W1656137789 modified "2023-09-25" @default.
• W1656137789 title "Non-Symplectic Geometry of First Order Time-Dependent Mechanics" @default.
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• W1656137789 hasPublicationYear "1997" @default.
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