Multi-Dirac structures for Lie bialgebroids

DOI10.1016/J.DIFGEO.2024.102178MaRDI QIDQ6654669

Kwang-Hyon Jong, Un-Gyong Jong, Wonhak Ri, Ju-Song Jong

Publication date: 20 December 2024

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

zbMATH Keywords

Lie bialgebroidsmultisymplectic formsmulti-Dirac structureshigher Dirac structures

Mathematics Subject Classification ID

Constrained dynamics, Dirac's theory of constraints (70H45) Higher-order theories for problems in Hamiltonian and Lagrangian mechanics (70H50) Generalized geometries (à la Hitchin) (53D18)

Cites Work

• Title not available (Why is that?)
• \(L _{\infty }\)-algebras from multisymplectic geometry
• On higher analogues of Courant algebroids
• On the geometry of multi-Dirac structures and Gerstenhaber algebras
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• Dirac structures and Poisson homogeneous spaces
• Lie bialgebroids and Poisson groupoids
• Manin triples for Lie bialgebroids
• The Schouten-Nijenhuis bracket and interior products
• Noether's theorem in multisymplectic geometry
• Nambu-Dirac structures for Lie algebroids
• \(L_\infty \)-algebras and higher analogues of Dirac sturctures and Courant algebroids
• The cohomology structure of an associative ring
• An invitation to multisymplectic geometry
• The Hamilton-Pontryagin principle and multi-Dirac structures for classical field theoriesa)
• Hamiltonian multivector fields and Poisson forms in multisymplectic field theory
• Dirac Manifolds
• CONSERVED QUANTITIES ON MULTISYMPLECTIC MANIFOLDS

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