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arxiv: dg-ga/9609006 · v1 · submitted 1996-09-20 · dg-ga · math.DG

On constant mean curvature surfaces with periodic metric

Josef Dorfmeister , Guido Haak This is my paper
classification dg-ga math.DG
keywords metricperiodicsurfacesalternativealwaysapproachclassificationcmc-surface
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We investigate CMC-surfaces with periodic metric in a dressing orbit of the cylinder. It is shown, that such surfaces are always of finite type. Using the periodicity conditions for the extended frame of a CMC-surface, we develop an alternative approach to the classification of CMC-tori given by Pinkall and Sterling.

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