Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Foliations of asymptotically flat manifolds by surfaces of Willmore type   The goal of this paper is to establish the existence of a foliation of the
asymptotic region of an asymptotically flat manifold with nonzero mass by
surfaces which are critical points of the Willmore functional subject to an
area constraint. Equivalently these surfaces are critical points of the
Geroch-Hawking mass. Thus our result has applications in the theory of General
Relativity.

35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol