Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On higher analogues of Courant algebroids   In this paper, we study the algebraic properties of the higher analogues of
Courant algebroid structures on the direct sum bundle $TM\oplus\wedge^nT^*M$
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. $\dM\omega=0$. Furthermore,
there is a Lie algebroid structure on the admissible bundle
$A\subset\wedge^{n}T^*M$. In particular, for a 2-plectic structure, it induces
the Lie 2-algebra structure given in \cite{baez:classicalstring}.

5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
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The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
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The categories of this paper are: cs
0
The categories of this paper are: hep-ph