G. Giachetta, L. Mangiarotti, G. Sardanashvily
Published 2006-04-26Version 1
Submanifolds of a manifold are described as sections of a certain fiber bundle that enables one to consider their Lagrangian and (polysymplectic) Hamiltonian dynamics as that of a particular classical field theory. In particular, their Lagrangians and Hamiltonians must satisfy rather restrictive Noether identities. For instance, this is the case of relativistic mechanics and classical string theory.
Hamiltonian analysis for linearly acceleration-dependent Lagrangians
Geometrical Formulation of Relativistic Mechanics
The Stochastic Representation of Hamiltonian Dynamics and The Quantization of Time
