On higher analogues of Courant algebroids

DOI10.1007/s11425-010-4142-0zbMath1248.53067arXiv1003.1350OpenAlexW3105267885MaRDI QIDQ547382

Yun He Sheng, Yanhui Bi

Publication date: 1 July 2011

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.1350

zbMATH Keywords

Courant algebroidshigher-order Dorfman bracketmultisymplectic formsNambu-Poisson structures

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Homological methods in Lie (super)algebras (17B55) Poisson manifolds; Poisson groupoids and algebroids (53D17) Lie algebras and Lie superalgebras (17B99)

Related Items (18)

Dissections and automorphisms of regular Courant algebroids ⋮ \(p\)-brane actions and higher Roytenberg brackets ⋮ AKSZ CONSTRUCTION OF TOPOLOGICAL OPEN p-BRANE ACTION AND NAMBU BRACKETS ⋮ Higher omni-Lie algebroids ⋮ Modular classes revisited ⋮ Reduction of Nambu-Poisson manifolds by regular distributions ⋮ Leibniz algebroids, twistings and exceptional generalized geometry ⋮ Metric-Bourbaki algebroids: Cartan calculus for M-theory ⋮ `Anti-commutable' local pre-Leibniz algebroids and admissible connections ⋮ Omni n-Lie algebras and linearization of higher analogues of Courant algebroids ⋮ The geometry of graded cotangent bundles ⋮ Leibniz algebroids, generalized Bismut connections and Einstein-Hilbert actions ⋮ Dirac structures for higher analogues of Courant algebroids ⋮ Higher nonabelian omni-Lie algebroids ⋮ Linearization of the higher analogue of Courant algebroids ⋮ DIRAC STRUCTURES OF OMNI-LIE ALGEBROIDS ⋮ Fluxes in exceptional field theory and threebrane sigma-models ⋮ Metric-connection geometries on pre-Leibniz algebroids: A search for geometrical structure in string models

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