Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence of Yamabe flow on some complete manifolds with infinite
  volume   The goal of this paper is to study a curvature normalized Yamabe flow on a
non-compact complete Riemannian manifold with a fibered boundary metric
$g_{\Phi}$. Examples of such spaces include special cases of non-abelian
magnetic monopoles, gravitational instantons and products of asymptotically
conical with closed manifolds. Assuming the scalar curvature of $g_{\Phi}$ to
be negative and bounded away from zero, we prove long-time existence and
convergence of the flow. Our work extends the results of Su\'{a}rez-Serrato and
Tapie to a non compact setting.

1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph