On constant mean curvature surfaces with periodic metric
Abstract
We investigate CMCsurfaces 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 CMCsurface, we develop an alternative approach to the classification of CMCtori given by Pinkall and Sterling.
 Publication:

eprint arXiv:dgga/9609006
 Pub Date:
 September 1996
 arXiv:
 arXiv:dgga/9609006
 Bibcode:
 1996dg.ga.....9006D
 Keywords:

 Mathematics  Differential Geometry;
 53A10 (Primary) 58D19 (Secondary)
 EPrint:
 42 pages, LaTeX+amscd package, no figures