Embedded constant mean curvature tori in the three-sphere

Ben Andrews; Haizhong Li

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arXiv · 1204.5007

Embedded constant mean curvature tori in the three-sphere

Ben Andrews·Haizhong Li

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Abstract

We prove that any constant mean curvature embedded torus in the three dimensional sphere is axially symmetric, and use this to give a complete classification of such surfaces for any given value of the mean curvature.

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BibTeX RIS

Ben Andrews, Haizhong Li. 2012-06-27. Embedded constant mean curvature tori in the three-sphere. https://arxiv.org/abs/1204.5007

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