Meromorphic Potentials and Smooth CMC Surfaces

dc.creatorDorfmeister, J.
dc.creatorHaak, G.
dc.date1994-12-31
dc.date1996-03-13
dc.date.accessioned2026-07-07T08:59:07Z
dc.date.available2026-07-07T08:59:07Z
dc.descriptionThis work is based on the approach developed by J.~Dorfmeister, F.~Pedit and H.~Wu [GANG and KITCS preprint, Report KITCS94-4-1] to construct maps $Φ:D\rightarrow R^3$, $D$ being the unit disk in $C$, whose images are surfaces of constant mean curvature. They start from certain meromorphic one forms, so called meromorphic potentials, which take values in a twisted loop algebra over $su(2)$. The authors give necessary and sufficient conditions on the meromorphic potential for the constructed map $Φ$ to be an immersion. This revision corrects several misprints and minor TeX problems.
dc.description39 pages, LaTeX2e format, LaTeX 2.09 optional, 2 postscript figures not included, they can be obtained via WWW. point your WWW client at: http://poincare.math.ukans.edu/CMC.html This is a revision correcting several misprints and TeX problems
dc.identifierhttps://arxiv.org/abs/dg-ga/9412007
dc.identifierhttp://arxiv.org/abs/dg-ga/9412007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/147589
dc.subjectDifferential Geometry
dc.titleMeromorphic Potentials and Smooth CMC Surfaces
dc.typetext

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