Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Prescribing the mixed scalar curvature of a foliated Riemann-Cartan
  manifold   The mixed scalar curvature is one of the simplest curvature invariants of a
foliated Riemannian manifold. We explore the problem of prescribing the mixed
scalar curvature of a foliated Riemann-Cartan manifold by conformal change of
the structure in tangent and normal to the leaves directions. Under certain
geometrical assumptions and in two special cases: along a compact leaf and for
a closed fibred manifold, we reduce the problem to solution of a leafwise
elliptic equation, which has three stable solutions -- only one of them
corresponds to the case of a foliated Riemannian manifold.

7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics