Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Deformations of Riemann Surfaces   We prove that every Riemann surface not isomorphic to the Riemann sphere
admits an infinitesimal deformation of the complex structure. The proof is
based in an investigation of the length of geodesics for the Kobayashi/Poincare
metric.

9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn