Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A new construction of naturally reductive spaces   A new construction of naturally reductive spaces is presented. This
construction gives a large amount of new families of naturally reductive
spaces. First the infinitesimal models of the new naturally reductive spaces
are constructed. A concrete transitive group of isometries is given for the new
spaces and also the naturally reductive structure with respect to this group is
explicitly given.

21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys