Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Constructing constant curvature metrics on Riemann surfaces with
  singularities   By constructing an ODE through a kind of meromorphic 1-forms, we will give an
explicit construction of a kind of conformal metrics of constant curvature on
Riemann surfaces with singularities. As an application, we will classify
constant curvature one metrics on $S^{2}$ with two conical singularities, which
was first proved by Troyanov in \cite{Tr89} by using projective connection.

8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat