Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Invariant Matsumoto metrics on homogeneous spaces   In this paper we consider invariant Matsumoto metrics which are induced by
invariant Riemannian metrics and invariant vector fields on homogeneous spaces
then we give the flag curvature formula of them. Also we study the special
cases of naturally reductive spaces and bi-invariant metrics. We end the
article by giving some examples of geodesically complete Matsumoto spaces.

11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph