Open Access
February 2015 Embedded constant mean curvature tori in the three-sphere
Ben Andrews, Haizhong Li
J. Differential Geom. 99(2): 169-189 (February 2015). DOI: 10.4310/jdg/1421415560


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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Ben Andrews. Haizhong Li. "Embedded constant mean curvature tori in the three-sphere." J. Differential Geom. 99 (2) 169 - 189, February 2015.


Published: February 2015
First available in Project Euclid: 16 January 2015

zbMATH: 1318.53059
MathSciNet: MR3302037
Digital Object Identifier: 10.4310/jdg/1421415560

Rights: Copyright © 2015 Lehigh University

Vol.99 • No. 2 • February 2015
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