Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geodesible contact structures on 3--manifolds   In this paper, we study and almost completely classify contact structures on
closed 3--manifolds which are totally geodesic for some Riemannian metric. Due
to previously known results, this amounts to classifying contact structures on
Seifert manifolds which are transverse to the fibers. Actually, we obtain the
complete classification of contact structures with negative (maximal) twisting
number (which includes the transverse ones) on Seifert manifolds whose base is
not a sphere, as well as partial results in the spherical case.

16
The categories of this paper are: stat
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom