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October 2000 New constant mean curvature surfaces
Martin Kilian, Ian McIntosh, Nicholas Schmitt
Experiment. Math. 9(4): 595-611 (October 2000).

Abstract

We use the Dorfmeister-Pedit-Wu construction to use 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 a k Delaunay ends (k-noids): the evidence is experiemental at present. These can have both unduloidal and nodoidal ends.

Citation

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Martin Kilian. Ian McIntosh. Nicholas Schmitt. "New constant mean curvature surfaces." Experiment. Math. 9 (4) 595 - 611, October 2000.

Information

Published: October 2000
First available in Project Euclid: 20 February 2003

zbMATH: 1017.53009
MathSciNet: MR1806295

Subjects:
Primary: 53A10

Rights: Copyright © 2000 A K Peters, Ltd.

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Vol.9 • No. 4 • October 2000
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