Meromorphic Potentials and Smooth CMC Surfaces

J. Dorfmeister; G. Haak

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arXiv · dg-ga/9412007

Meromorphic Potentials and Smooth CMC Surfaces

J. Dorfmeister·G. Haak

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Abstract

This 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.

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BibTeX RIS

J. Dorfmeister, G. Haak. 1996-03-13. Meromorphic Potentials and Smooth CMC Surfaces. https://arxiv.org/abs/dg-ga/9412007

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