Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Schur-Toponogov theorem in Riemannian geometry & a new proof of
  Toponogov's theorem in Alexandrov geometry   In the paper, we give a Schur-Toponogov theorem in Riemannian geometry, which
not only generalizes Schur's and Toponogov's theorem but also indicates their
relation. Inspired by its proof, we also supply a new proof of Toponogov's
theorem (in the large) in Alexandrov geometry.

31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics