Embedded constant mean curvature tori in the three-sphere

Ben Andrews; Haizhong Li

doi:10.4310/jdg/1421415560

Embedded constant mean curvature tori in the three-sphere

Ben Andrews, Haizhong Li

Research output: Contribution to journal › Article › peer-review

41 Citations (SciVal)

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.

Original language	English
Pages (from-to)	169-189
Number of pages	21
Journal	Journal of Differential Geometry
Volume	99
Issue number	2
DOIs	https://doi.org/10.4310/jdg/1421415560
Publication status	Published - 1 Feb 2015
Externally published	Yes

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title = "Embedded constant mean curvature tori in the three-sphere",

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Embedded constant mean curvature tori in the three-sphere

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