Embedded constant mean curvature tori in the three-sphere

Ben Andrews, Haizhong Li

Research output: Contribution to journalArticlepeer-review

38 Citations (Scopus)

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 languageEnglish
Pages (from-to)169-189
Number of pages21
JournalJournal of Differential Geometry
Volume99
Issue number2
DOIs
Publication statusPublished - 1 Feb 2015
Externally publishedYes

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