Opening nodes on horosphere packings
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Abstract:
We use Bryant representation to construct constant mean curvature-1 surfaces in hyperbolic space by desingularisation of a horosphere packing.References
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Additional Information
- Martin Traizet
- Affiliation: Laboratoire de Mathématiques et Physique Théorique, Université François Rabelais, 37200 Tours, France
- Email: martin.traizet@lmpt.univ-tours.fr
- Received by editor(s): July 17, 2014
- Published electronically: December 15, 2015
- Additional Notes: This work was partially supported by ANR-11-ISO1-0002 grant.
- © Copyright 2015 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 368 (2016), 5701-5725
- MSC (2010): Primary 53A10; Secondary 34M35
- DOI: https://doi.org/10.1090/tran/6550
- MathSciNet review: 3458396