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

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

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Differential Geometry, 53A10 (Primary) 58D19 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/152291

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/dg-ga/9709018
 http://arxiv.org/abs/dg-ga/9709018

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arXiv