On constant mean curvature surfaces with periodic metric

J. Dorfmeister and G. Haak

Vol. 182 (1998), No. 2, 229–287

DOI: 10.2140/pjm.1998.182.229

Abstract

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.

Milestones

Received: 20 September 1996

Revised: 19 February 1997

Published: 1 February 1998