Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-Euclidean method of the generalized geometry construction and its
  application to space-time geometry   Non-Euclidean method of the generalized geometry construction is considered.
According to this approach any generalized geometry is obtained as a result of
deformation of the proper Euclidean geometry. The method may be applied for
construction of space-time geometries. Uniform isotropic space-time geometry
other, than that of Minkowski, is considered as an example. The problem of the
geometrical objects existence and their temporal evolution may be considered in
the constructed space-time geometry. Such a statement of the problem is
impossible in the framework of the Riemannian space-time geometry. Existence
and dynamics of microparticles is considered to be conditioned by existence of
corresponding geometrical objects and their temporal evolution in the
space-time. Geometrization of the particle mass and its momentum is produced.

8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th