The geometry of Lagrangian systems, whose Legendre map possesses generic singularities, is studied. On its basis the Transition Principle, prescribing the behaviour of phase trajectories on the singular hypersurface, is proposed. The notion of relative Hamiltonian vector field associated with an arbitrary Lagrangian is studied and in particular applied to the constraint algorithm.
ON THE GEOMETRY OF SINGULAR LAGRANGIANS
PUGLIESE, Fabrizio;VINOGRADOV, Alexandre
2000-01-01
Abstract
The geometry of Lagrangian systems, whose Legendre map possesses generic singularities, is studied. On its basis the Transition Principle, prescribing the behaviour of phase trajectories on the singular hypersurface, is proposed. The notion of relative Hamiltonian vector field associated with an arbitrary Lagrangian is studied and in particular applied to the constraint algorithm.File in questo prodotto:
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