Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hyperstructures on Lie algebroids   We define hypersymplectic structures on Lie algebroids recovering, as
particular cases, all the classical results and examples of hypersymplectic
structures on manifolds. We prove a 1-1 correspondence theorem between
hypersymplectic structures and (pseudo-)hyperk\"{a}hler structures. We show
that the hypersymplectic framework is very rich in already known compatible
pairs of tensors such as Poisson-Nijenhuis, $\Omega N$ and $P \Omega$
structures.

9
The categories of this paper are: nlin
18
The categories of this paper are: econ
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con