Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the characterization of non-degenerate foliations of
  pseudo-Riemannian manifolds with conformally flat leaves   A necessary and sufficient condition for the leaves of a {\em non-degenerate}
foliation of a pseudo-Riemannian manifold to be conformally flat is developed.
The condition mimics the classical condition of the vanishing of the Weyl or
Cotton tensor establishing the conformal flatness of a pseudo-Riemannian
manifold in the sense that it is also formulated in terms of the vanishing of
certain tensors. These tensors play the role of the Weyl or the Cotton tensors
and they are defined in terms of the the curvature of a linear torsion-free
connection (the {\em bi-conformal connection}).

1
The categories of this paper are: cs
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph