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

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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Veröffentlicht in:	Journal für die reine und angewandte Mathematik 2015-10, Vol.2015 (707), p.45-86
Hauptverfasser:	Kilian, Martin, Schmidt, Martin U., Schmitt, Nicholas
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Sprache:	eng
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creator	Kilian, Martin Schmidt, Martin U. Schmitt, Nicholas
description	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.
doi_str_mv	10.1515/crelle-2013-0079
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title	Flows of constant mean curvature tori in the 3-sphere: The equivariant case
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