Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a Possibility of Phase Transitions in the Geometric Structure of
  Space-Time   It is shown that space-time may be not only in a state which is described by
Riemann geometry but also in states which are described by Finsler geometry.
Transitions between various metric states of space-time have the meaning of
phase transitions in its geometric structure. These transitions together with
the evolution of each of the possible metric states make up the general picture
of space-time manifold dynamics.

12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex