Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Prescribed mean curvature flow of non-compact space-like Cauchy
  hypersurfaces   In this paper we consider the prescribed mean curvature flow of a non-compact
space-like Cauchy hypersurface of bounded geometry in a generalized
Robertson-Walker space-time. We prove that the flow preserves the
space-likeness condition and exists for infinite time. We also prove
convergence in the setting of manifolds with boundary. Our discussion
generalizes previous work by Ecker, Huisken, Gerhardt and others with respect
to a crucial aspects: we consider any non-compact Cauchy hypersurface under the
assumption of bounded geometry. Moreover, we specialize the aforementioned
works by considering globally hyperbolic Lorentzian space-times equipped with a
specific class of warped product metrics.

1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat