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Triunduloids: Embedded Constant Mean Curvature Surfaces With Three Ends and Genus Zero
Proceedings of the National Academy of Sciences (2000)
  • Karsten Grosse-Brauckmann
  • Robert Kusner, University of Massachusetts - Amherst
  • John M. Sullivan
Abstract

We announce the classification of complete almost embedded surfaces of constant mean curvature, with three ends and genus zero. They are classified by triples of points on the sphere whose distances are the asymptotic necksizes of the three ends.

Publication Date
2000
Publisher Statement
The published version is located at http://www.ncbi.nlm.nih.gov/pmc/articles/PMC18871/
Citation Information
Karsten Grosse-Brauckmann, Robert Kusner and John M. Sullivan. "Triunduloids: Embedded Constant Mean Curvature Surfaces With Three Ends and Genus Zero" Proceedings of the National Academy of Sciences Vol. 97 Iss. 26 (2000)
Available at: http://works.bepress.com/robert_kusner/15/