Families of conformal tori of revolution in the 3-sphere

Details Families of conformal tori of revolution in the 3-sphere Families of conformal tori of revolution in the 3-sphere

2009-09-22

arxiv.org/abs/0909.3965v1

Mathematics

Differential Geometry

12 pages, 5 figures

Scientific paper

For all positive integers n we construct a 1-parameter family of conformal
tori of revolution in the 3-sphere with n bulges. These tori arise by Darboux
transformations of constant mean curvature tori but do not have constant mean
curvature in the 3-sphere.

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