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

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

2007-12-03

arxiv.org/abs/0712.0108v2

Mathematics

Differential Geometry

Expanded and revised

Scientific paper

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.

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