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 |
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Pages (from-to) | 169-189 |
Number of pages | 21 |
Journal | Journal of Differential Geometry |
Volume | 99 |
Issue number | 2 |
DOIs | |
Publication status | Published - 1 Feb 2015 |
Externally published | Yes |