Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Splitting theorems for Poisson and related structures   According to the Weinstein splitting theorem, any Poisson manifold is
locally, near any given point, a product of a symplectic manifold with another
Poisson manifold whose Poisson structure vanishes at the point. Similar
splitting results are known e.g. for Lie algebroids, Dirac structures and
generalized complex structures. In this paper, we develop a novel approach
towards these results that leads to various generalizations, including their
equivariant versions as well as their formulations in new contexts.

31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn