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arXiv · 0712.0108

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

M. Kilian·M. U. Schmidt
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Abstract

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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M. Kilian, M. U. Schmidt. 2008-05-17. On the moduli of constant mean curvature cylinders of finite type in the 3-sphere. https://arxiv.org/abs/0712.0108

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