Investigation and application of the dressing action on surfaces of constant mean curvature

Details Investigation and application of the dressing action on surfaces of constant mean curvature Investigation and application of the dressing action on surfaces of constant mean curvature

1997-09-22

arxiv.org/abs/dg-ga/9709018v1

Mathematics

Differential Geometry

14 pages, LaTeX+amslatex+amsfonts packages, no figures

Scientific paper

We investigate the dressing action on surfaces of constant mean curvature
(CMC surfaces) in Euclidean space. In particluar, we show that for CMC surfaces
with umbilics the isotropy group under dressing is always trivial. This result
is applied to the investigation of CMC surfaces whose metric is invariant under
a group of automorphisms of the parameter domain.

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