Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Notes sur les vari\'et\'es diff\'erentiables, structures complexes et
  quaternioniques et applications   These are notes of lectures given at the Third School of Theoretical Physics
in Jijel (Algeria, September 2009). The subject of these notes is differential
geometry, complex and quaternionic structures with applications to theoretical
physics. Concerning the physical applications, they contain several aspects of
Penrose transformation in the Riemannian context (Euclidean signature) and
various formulations of the Yang-Mills and Einstein equations among which
several are unusual ones.

11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th