An invitation to multisymplectic geometry

DOI10.1016/j.geomphys.2019.03.006zbMath1416.53076arXiv1804.02553OpenAlexW2795629572WikidataQ128138109 ScholiaQ128138109MaRDI QIDQ2422430

Leonid Ryvkin, Tilmann Wurzbacher

Publication date: 19 June 2019

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.02553

zbMATH Keywords

multisymplectic geometryLagrangian and Hamiltonian field theoriesDarboux-type theoremsgroups of multisymplectic diffeomorphismshomotopy comoment

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Momentum maps; symplectic reduction (53D20) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items

Reduction of multisymplectic manifolds ⋮ Polysymplectic reduction and the moduli space of flat connections ⋮ A HYDRODYNAMICAL HOMOTOPY CO-MOMENTUM MAP AND A MULTISYMPLECTIC INTERPRETATION OF HIGHER-ORDER LINKING NUMBERS ⋮ Quadratic Lie algebras with 2-plectic structures ⋮ Conditions for symmetry reduction of polysymplectic and polycosymplectic structures ⋮ Invariants associated to a variational problem ⋮ On the prequantisation map for 2-plectic manifolds ⋮ Quantization of polysymplectic manifolds ⋮ Spin(7)-manifolds and multisymplectic geometry

Uses Software

• MathOverflow

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