Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniqueness results and enclosure properties for hypersurfaces with
  boundary in weighted cylinders   For a Riemannian manifold $M$, possibly with boundary, we consider the
Riemannian product $M\times\mathbb{R}^k$ with a smooth positive function that
weights the Riemannian measures. In this work we characterize parabolic
hypersurfaces with non-empty boundary and contained within certain regions of
$M\times\mathbb{R}^k$ with suitable weights. Our results include half-space and
Bernstein-type theorems in weighted cylinders. We also generalize to this
setting some classical properties about the confinement of a compact minimal
hypersurface to certain regions of Euclidean space according to the position of
its boundary. Finally, we show interesting situations where the statements are
applied, some of them in relation to the singularities of the mean curvature
flow.

25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph