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arxiv: 1011.2875 · v2 · pith:DNUBAWGXnew · submitted 2010-11-12 · 🧮 math.DG

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

classification 🧮 math.DG
keywords toriconstantcurvaturemeansphereembeddedequivariantalexandrov
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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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