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Optimal length estimates for stable CMC surfaces in $3$-space forms.
- Source :
-
Proceedings of the American Mathematical Society . Mar2009, Vol. 137 Issue 8, p2761-2765. 5p. - Publication Year :
- 2009
-
Abstract
- In this paper, we study stable constant mean curvature $H$ surfaces in $mathbb {R}^3$. We prove that, in such a surface, the distance from a point to the boundary is less than or equal to $pi /(2H)$. This upper bound is optimal and is extended to stable constant mean curvature surfaces in space forms. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 137
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 38330235
- Full Text :
- https://doi.org/10.1090/S0002-9939-09-09885-2