Cotangent bundle reduction and Routh reduction for polysymplectic manifolds
نویسندگان
چکیده
We discuss Lagrangian and Hamiltonian field theories that are invariant under a symmetry group. apply the polysymplectic reduction theorem for both types of equations we investigate aspects corresponding reconstruction process. identify structures lie at basis cotangent bundle Routh in this setting relate them by means Routhian function its associated Legendre transformation. end paper with examples illustrate applicability our results.
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ژورنال
عنوان ژورنال: Journal of Physics A
سال: 2022
ISSN: ['1751-8113', '1751-8121']
DOI: https://doi.org/10.1088/1751-8121/ac91b3