Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometric structures as deformed infinitesimal symmetries   A general model for geometric structures on differentiable manifolds is
obtained by deforming infinitesimal symmetries. Specifically, this model
consists of a Lie algebroid, equipped with an affine connection compatible with
the Lie algebroid structure. The curvature of this connection vanishes
precisely when the structure is locally symmetric.
  This model generalizes Cartan geometries, a substantial class, to the
intransitive case. Simple examples are surveyed and corresponding local
obstructions to symmetry are identified. These examples include foliations,
Riemannian structures, infinitesimal G-structures, symplectic and Poisson
structures.

36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics