Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Almost soliton duality   Gradient Ricci almost solitons were introduced by Pigola, Rigoli, Rimoldi and
Setti. They are defined as solitons except that the metric coefficient is
required to be a smooth function rather than a constant. It is shown that any
almost soliton is conformal to another almost soliton having a soliton function
which is minus the original one. Uniqueness, and the case where both the source
and target are solitons, are studied. Completeness of the target metric is also
examined in the case where the source is K\"ahler and admits a special
K\"ahler-Ricci potential in the sense given by Derdzinski and Maschler.

7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio