Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniqueness results for free-boundary minimal hypersurfaces in
  conformally Euclidean balls and annular domains   In this paper we prove that a flat free-boundary minimal $n$-disk, $n\geq3$,
in the unit Euclidean ball $B^{n+1}$ is the unique compact free boundary
minimal hypersurface in the unit Euclidean ball which the squared norm of the
second fundamental form is less than either $\frac{n^2}{4}$ or
$\frac{(n-2)^2}{4|x|^2}$. Moreover, we prove analogous results for compact free
boundary minimal hypersurfaces in annular domains with a conformally Euclidean
metric.

36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat