Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Differential properties of spaces of symmetric real matrices   We study the differential geometric properties of the manifold of
non-singular symmetric real matrices endowed with the trace metric; in case of
positive definite matrices we describe the full group of isometries

36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex