On stability of equivariant minimal tori in the 3-sphere |
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| Affiliation: | 1. Department of Mathematics, University College Cork, Ireland;2. Institut für Mathematik, Universität Mannheim, Germany;3. Mathematisches Institut, Universität Tübingen, Germany |
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| Abstract: | We prove that amongst the equivariant constant mean curvature tori in the 3-sphere, the Clifford torus is the only local minimum of the Willmore energy. All other equivariant minimal tori in the 3-sphere are local maxima of the Willmore energy. |
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| Keywords: | Minimal surfaces Willmore energy Isoperiodic deformation |
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