New constant mean curvature surfaces

M Kilian, I McIntosh, N Schmitt

Research output: Contribution to journalArticlepeer-review


We use the Dorfmeister-Pedit-Wu construction to present three new classes of immersed CMC cylinders, each of which includes surfaces with umbilics. The first class consists of cylinders with one end asymptotic to a Delaunay surface. The second class presents surfaces with a closed planar geodesic. In the third class each surface has a closed curve of points With a Common tangent plane. An appendix, by the third author, describes the DPW potentials that appear to give CMC punctured spheres with k Delaunay ends (k-noids): the evidence is experimental at present. These can have both unduloidal and nodoidal ends.

Original languageEnglish
Pages (from-to)595-611
Number of pages17
JournalExperimental mathematics
Issue number4
Publication statusPublished - 2000



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