Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal length estimates for stable CMC surfaces in 3-space forms   In this paper, we study stable constant mean curvature $H$ surfaces in
$\R^3$. We prove that, in such a surface, the distance from a point to the
boundary is less that $\pi/(2H)$. This upper-bound is optimal and is extended
to stable constant mean curvature surfaces in space forms.

17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph