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Transactions of the American Mathematical Society

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Opening nodes on horosphere packings


Author: Martin Traizet
Journal: Trans. Amer. Math. Soc. 368 (2016), 5701-5725
MSC (2010): Primary 53A10; Secondary 34M35
DOI: https://doi.org/10.1090/tran/6550
Published electronically: December 15, 2015
MathSciNet review: 3458396
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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.


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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

DOI: https://doi.org/10.1090/tran/6550
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.
Article copyright: © Copyright 2015 American Mathematical Society