Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nambu structures on Lie algebroids and their modular classes   We introduce the notion of the modular class of a Lie algebroid equipped with
a Nambu structure. In particular, we recover the modular class of a
Nambu-Poisson manifold $M$ with its Nambu tensor $\Lambda$ as the modular class
of the tangent Lie algebroid $TM$ with Nambu structure $\Lambda.$ We show that
many known properties of the modular class of a Nambu-Poisson manifold that of
a Lie algebropid extend to the setting of a Lie algebroid with Nambu structure.
Finally, we prove that for a large class of Nambu-Poisson manifolds considered
as tangent Lie algebroids with Nambu structures, the associated modular classes
are closely related to Evens-Lu-Weinstein modular classes of Lie algebroids.

23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex