Optimal length estimates for stable CMC surfaces in 3-space forms
classification
🧮 math.DG
keywords
stablesurfacesconstantcurvatureformsmeanoptimalspace
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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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