Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Prescribed curvature tensor in locally conformally flat manifolds   Our principal goal is to study the Prescribed Curvature Tensor problem in
locally conformally flat manifolds. The solution to this problem is given
explicitly for the special cases of the tensor R, including a case where the
metric g is complete on Rn. Similar problems are considered for locally
conformally flat manifolds. As applications of these results we exhibit
explicit examples of metrics g, conformal to g they are solutions for this
problem.

31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex