2-PLECTIC MANIFOLDS AND ITS RELATION WITH COURANT ALGEBROIDS

DOI10.1142/S0219887812500156zbMath1254.53055OpenAlexW2048143111MaRDI QIDQ2911884

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Publication date: 3 September 2012

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887812500156

zbMATH Keywords

Courant algebroid2-plectic manifold2-Lagrangian submanifoldextended action

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Cites Work

• Reduction of Courant algebroids and generalized complex structures
• Categorified symplectic geometry and the classical string
• Courant algebroids
• A Darboux theorem for multi-symplectic manifolds
• On the multisymplectic formalism for first order field theories
• Manin triples for Lie bialgebroids
• Dirac structures and dynamical \(r\)-matrices

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