Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on the uniqueness of solutions for the Yamabe problem   We prove that in conformal classes of metrics near the class of an Einstein
metric (other than the standard round metric on a sphere) the Yamabe problem
has a unique solution up to scaling. This is a local extension, in the space of
conformal classes, of a well-known uniqueness criterion due to Obata.

19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg