Recognition: unknown
Embedded constant mean curvature tori in the three-sphere
classification
🧮 math.DG
keywords
curvaturemeanconstantembeddedaxiallyclassificationcompletedimensional
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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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