Families of conformal tori of revolution in the 3-sphere

Abstract

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.

12 pages, 5 figures

References in corpus (1)

• On the moduli of constant mean curvature cylinders of finite type in the 3-sphere

Cited by in corpus (1)

• Darboux transforms and spectral curves of constant mean curvature surfaces revisited