Opening nodes on horosphere packings

Author:

Traizet Martin

Abstract

We use Bryant representation to construct constant mean curvature-1 surfaces in hyperbolic space by desingularisation of a horosphere packing.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference22 articles.

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2. The geometry of finite topology Bryant surfaces;Collin, Pascal;Ann. of Math. (2),2001

3. Surfaces de Bryant dans ℍ³ de type fini;Daniel, Benoît;Bull. Sci. Math.,2002

4. Flux for Bryant surfaces and applications to embedded ends of finite total curvature;Daniel, Benoît;Illinois J. Math.,2003

5. Minimal disks bounded by three straight lines in Euclidean space and trinoids in hyperbolic space;Daniel, Benoît;J. Differential Geom.,2006

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Opening nodes in the DPW method: Co-planar case;Commentarii Mathematici Helvetici;2022-01-18

2. Construction of constant mean curvature n-noids using the DPW method;Journal für die reine und angewandte Mathematik (Crelles Journal);2020-06-01

3. On Delaunay ends in the DPW method;Indiana University Mathematics Journal;2020

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