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

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Date
2015-09-05
Authors
Kilian, Martin
Schmidt, Martin U.
Schmitt, Nicholas
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De Gruyter
Published Version
10.1515/crelle-2013-0079
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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.
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Constant mean curvature tori in the 3-sphere
Citation
Kilian, M., Schmidt, M. U. and Schmitt, N. (2015) 'Flows of constant mean curvature tori in the 3-sphere: The equivariant case', Journal Fur Die Reine Und Angewandte Mathematik, 707, pp. 45-86. doi: 10.1515/crelle-2013-0079
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https://hdl.handle.net/10468/15094
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Mathematical Sciences- Journal Articles
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© 2015, Walter de Gruyter GmbH. The final publication is available at: https://www.degruyter.com/document/doi/10.1515/crelle-2013-0079/html