Open Access
September 2006 One-sided complete stable minimal surfaces
Antonio Ros
J. Differential Geom. 74(1): 69-92 (September 2006). DOI: 10.4310/jdg/1175266182


We prove that there are no complete one-sided stable minimal surfaces in the Euclidean 3-space. We classify least area surfaces in the quotient of $\mathbb{R}^3$ by one or two linearly independent translations and we give sharp upper bounds of the genus of compact two-sided index one minimal surfaces in non-negatively curved ambient spaces. Finally we estimate from below the index of complete minimal surfaces in flat spaces in terms of the topology of the surface


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Antonio Ros. "One-sided complete stable minimal surfaces." J. Differential Geom. 74 (1) 69 - 92, September 2006.


Published: September 2006
First available in Project Euclid: 30 March 2007

zbMATH: 1110.53009
MathSciNet: MR2260928
Digital Object Identifier: 10.4310/jdg/1175266182

Primary: 53A10

Rights: Copyright © 2006 Lehigh University

Vol.74 • No. 1 • September 2006
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