Publication Date:
2016-03-10
Description:
We introduce the moduli space of spectral curves of constant mean curvature (CMC) cylinders of finite type in the round unit 3-sphere. The subset of spectral curves of mean-convex Alexandrov embedded cylinders is explicitly determined using a combination of integrable systems and geometric analysis techniques. We prove that these cylinders are surfaces of revolution. As a consequence, all mean-convex Alexandrov embedded CMC tori in the 3-sphere are surfaces of revolution.
Print ISSN:
0024-6115
Electronic ISSN:
1460-244X
Topics:
Mathematics
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