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arxiv: math-ph/0506010 · v2 · submitted 2005-06-03 · 🧮 math-ph · math.MP

Geometric aspects of nonholonomic field theories

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keywords equationsfieldgeometriclagrangiannonholonomicsystemtheoryapproach
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A geometric model for nonholonomic Lagrangian field theory is studied. The multisymplectic approach to such a theory as well as the corresponding Cauchy formalism are discussed. It is shown that in both formulations, the relevant equations for the constrained system can be recovered by a suitable projection of the equations for the underlying free (i.e. unconstrained) Lagrangian system.

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