Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytic Geometry of Homogeneous Spaces   The theory uses methods and language of linear algebra to study nonlinear
spaces. These techniques can be used particularly to describe analytic geometry
of non-linear elliptic, hyperbolic, De Sitter and Anti de Sitter spaces. The
main innovation of elaborated theory is space parameterization by introduction
of space signature. This parameterization allows studying of different
homogeneous spaces in one global framework. When the parameters are used as
variables in definitions, axioms, equations, theorems, proofs, all these have
exactly the same form that describes the reality of all homogeneous spaces
simultaneously. When it is necessary to describe some space particularities or
to see the difference between two concrete spaces, the concrete values can be
put in parameters of each definition, axiom, equation, theorem and proof.

13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th