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arXiv:0712.0108 [math.DG]AbstractReferencesReviewsResources

On the moduli of constant mean curvature cylinders of finite type in the 3-sphere

M. Kilian, M. U. Schmidt

Published 2007-12-03, updated 2008-05-17Version 2

We show that one-sided Alexandrov embedded constant mean curvature cylinders of finite type in the 3-sphere are surfaces of revolution. This confirms a conjecture by Pinkall and Sterling that the only embedded constant mean curvature tori in the 3-sphere are rotational.

Comments: Expanded and revised
Categories: math.DG
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