TRIUNDULOIDS: EMBEDDED CONSTANT MEAN CURVATURE SURFACES WITH THREE ENDS AND GENUS ZERO
By Karsten Große-Brauckmann, Robert B. Kusner, John M. Sullivan Jr.. 2001
52 citations recorded by the source corpus.
We construct the entire three-parameter family of embedded constant mean curvature surfaces with three ends and genus zero. They are classified by triples of points on the sphere whose distances are the necksizes of the three ends. Because our surfaces are transcendental, and are not described by any ordinary dierential equation, it is remarkable to obtain such an explicit determination of their moduli space. (AMS Classification 2000: 53A10, 58D10)
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/96515859cbbbb177dff9bbdb5f80f81de4bddfa7
How researchers see this paper
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In Applied Mathematics
- Benoît Daniel
- Ricardo Sa Earp
- L. Hauswirth
- Eric Toubiana
- I. Fernández
- Pablo Mira
- Rabah Souam
- Iskander A. Taimanov
In Geometry and Topology
- Benoît Daniel
- I. Fernández
- Pablo Mira
- L. Hauswirth
- Eric Toubiana
- Rabah Souam
- Iskander A. Taimanov
- Dmitry Berdinsky
Citations in the corpus
- Isometric immersions into 3-dimensional homogeneous manifolds (2005, methodology): “In the same way, the conjugate cousin correspondence between minimal surfaces in S3 and CMC 1 surfaces in R3 was used to construct CMC 1 triunduloids in R3 ([GBKS03]).”