Optimal length estimates for stable CMC surfaces in 3-space forms

Laurent Mazet

Optimal length estimates for stable CMC surfaces in 3-space forms

Differential Geometry 2008-09-29 v1

Authors: Laurent Mazet

Abstract

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.

Keywords

surfaces with constant mean curvature hypersurfaces minimal surfaces

Cite

@article{arxiv.0809.4612,
  title  = {Optimal length estimates for stable CMC surfaces in 3-space forms},
  author = {Laurent Mazet},
  journal= {arXiv preprint arXiv:0809.4612},
  year   = {2008}
}

Comments

7 pages

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