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Momentum Sections in Hamiltonian Mechanics and Sigma Models
Symmetry, integrability and geometry: methods and applications, Tome 15 (2019) Cet article a éte moissonné depuis la source Math-Net.Ru

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We show a constrained Hamiltonian system and a gauged sigma model have a structure of a momentum section and a Hamiltonian Lie algebroid theory recently introduced by Blohmann and Weinstein. We propose a generalization of a momentum section on a pre-multisymplectic manifold by considering gauged sigma models on higher-dimensional manifolds.
Keywords: symplectic geometry, Hamiltonian mechanics, nonlinear sigma model.
Mots-clés : Lie algebroid 
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     author = {Noriaki Ikeda},
     title = {Momentum {Sections} in {Hamiltonian} {Mechanics} and {Sigma} {Models}},
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     year = {2019},
     volume = {15},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2019_15_a75/}
}
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Noriaki Ikeda. Momentum Sections in Hamiltonian Mechanics and Sigma Models. Symmetry, integrability and geometry: methods and applications, Tome 15 (2019). http://geodesic.mathdoc.fr/item/SIGMA_2019_15_a75/

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