Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Group structure of the solution manifold of the hyperbolic Ernst
  equation --- general study of the subject and detailed elaboration of
  mathematical proofs   This is not for the faint of heart, for we here provide the full details
concerning the statement and proof of a generalized Geroch conjecture involving
not the usual analytic functions but instead functions that are merely C^3.

13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th