Mathematics – Differential Geometry
Scientific paper
2008-09-26
Mathematics
Differential Geometry
7 pages
Scientific paper
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.
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