Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gradient Ricci solitons on surfaces   We classify and expose all the gradient Ricci solitons on complete surfaces,
open or closed, with curvature bounded below, and possibly with a discrete set
of cone-like singular points that arise naturally. We give a precise
qualitative description of each metric in terms of a phase portrait, that is
the most accurate description for all cases that do not admit an explicit
expression in terms of elementary functions. Our classification contains
examples of smooth and conic solitons that were not described in the classic
literature. We add some visual embeddings in R^3 for aesthetics.

31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn