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• W3105267885 abstract "In this paper, we study the algebraic properties of the higher analogues of Courant algebroid structures on the direct sum bundle $TMopluswedge^nT^*M$ for an $m$-dimensional manifold. As an application, we revisit Nambu-Poisson structures and multisymplectic structures. We prove that the graph of an $(n+1)$-vector field $pi$ is closed under the higher-order Dorfman bracket iff $pi$ is a Nambu-Poisson structure. Consequently, there is an induced Leibniz algebroid structure on $wedge^nT^*M$. The graph of an $(n+1)$-form $omega$ is closed under the higher-order Dorfman bracket iff $omega$ is a premultisymplectic structure of order $n$, i.e. $dMomega=0$. Furthermore, there is a Lie algebroid structure on the admissible bundle $Asubsetwedge^{n}T^*M$. In particular, for a 2-plectic structure, it induces the Lie 2-algebra structure given in cite{baez:classicalstring}." @default.
• W3105267885 created "2020-11-23" @default.
• W3105267885 creator A5060944941 @default.
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• W3105267885 date "2011-01-14" @default.
• W3105267885 modified "2023-09-23" @default.
• W3105267885 title "On higher analogues of Courant algebroids" @default.
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• W3105267885 doi "https://doi.org/10.1007/s11425-010-4142-0" @default.
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