Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lie algebroids generated by cohomology operators   By studying the Fr\"olicher-Nijenhuis decomposition of cohomology operators
(that is, derivations $D$ of the exterior algebra $\Omega (M)$ with
$\mathbb{Z}-$degree $1$ and $D^2=0$), we describe new examples of Lie algebroid
structures on the tangent bundle $TM$ (and its complexification
$T^{\mathbb{C}}M$) constructed from pre-existing geometric ones such as
foliations, complex, product or tangent structures. We also describe a class of
Lie algebroids on tangent bundles associated to idempotent endomorphisms with
nontrivial Nijenhuis torsion.

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The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
18
The categories of this paper are: econ