Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Construction of the pseudo Riemannian geometry on the base of the
  Berwald-Moor geometry   The space of the associative commutative hyper complex numbers, H_4, is a
4-dimensional metric Finsler space with the Berwald-Moor metric. It provides
the possibility to construct the tensor fields on the base of the analytical
functions of the H_4 variable and also in case when this analyticity is broken.
Here we suggest a way to construct the metric tensor of a 4-dimensional pseudo
Riemannian space (space-time) using as a base the 4-contravariant tensor of the
tangent indicatrix equation of the Berwald-Moor space and the World function.
The Berwald-Moor space appears to be closely related to the Minkowski space.
The break of the analyticity of the World function leads to the non-trivial
curving of the 4-dimensional space-time and, particularly, to the Newtonian
potential in the non-relativistic limit.

35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an