Cylindrically bounded constant mean curvature surfaces in $\mathbb {H} ^2\times \mathbb {R}$
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Abstract:
In this paper it is proved that a properly embedded constant mean curvature surface in $\mathbb {H}^2\times \mathbb {R}$ which has finite topology and stays at a finite distance from a vertical geodesic line is invariant by rotation around a vertical geodesic line.References
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Additional Information
- Laurent Mazet
- Affiliation: Laboratoire d’Analyse et Mathématiques Appliquées, Université Paris-Est, CNRS UMR8050, UFR des Sciences et Technologie, Bâtiment P3 4eme étage, 61 avenue du Général de Gaulle, 94010 Créteil cedex, France
- MR Author ID: 722767
- Email: laurent.mazet@math.cnrs.fr
- Received by editor(s): January 22, 2013
- Published electronically: April 2, 2015
- © Copyright 2015
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 367 (2015), 5329-5354
- MSC (2010): Primary 53A10
- DOI: https://doi.org/10.1090/S0002-9947-2015-06171-6
- MathSciNet review: 3347174