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

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

2010-11-12

arxiv.org/abs/1011.2875v1

Mathematics

Differential Geometry

32 pages, 9 figures

Scientific paper

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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