Lagrangian and Hamiltonian dynamics of submanifolds

Details Lagrangian and Hamiltonian dynamics of submanifolds Lagrangian and Hamiltonian dynamics of submanifolds

2006-04-26

arxiv.org/abs/math-ph/0604066v1

Physics

Mathematical Physics

19 pages

Scientific paper

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.

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