Mathematical Physics
[Submitted on 26 Apr 2006]
Title:Lagrangian and Hamiltonian dynamics of submanifolds
View PDFAbstract: 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.
Submission history
From: Gennady Sardanashvily [view email][v1] Wed, 26 Apr 2006 16:39:50 UTC (14 KB)
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