Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Riemannian and Lorentzian structures on the non symmetric space
  SO(2m)/Sp(m)   In this work, we are interested in a non symmetric homogeneous space, namely
$SO(2m)/Sp(m)$. We show that this space admits a structure of $Z_2^2$-symmetric
space. We describe all the non degenerated metrics and classify the Riemannian
and Lorentzian ones.

29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph