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arXiv · 1011.2875

Flows of constant mean curvature tori in the 3-sphere: The equivariant case

Martin Kilian·Martin Ulrich Schmidt·Nicholas Schmitt
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Abstract

We present a deformation for constant mean curvature tori in the 3-sphere. We show that the moduli space of equivariant constant mean curvature tori in the 3-sphere is connected, and we classify the minimal, the embedded, and the Alexandrov embedded tori therein. We conclude with an instability result.

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Martin Kilian, Martin Ulrich Schmidt, Nicholas Schmitt. 2010-11-12. Flows of constant mean curvature tori in the 3-sphere: The equivariant case. https://doi.org/10.1515/crelle-2013-0079

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