Rational Minimal Surfaces
نویسنده
چکیده
In this paper we investigate rational minimal surfaces { a special class of umbilic-free minimal surfaces with nite total curvature and Enneper type ends. We deene an iteration for Gauss maps and show that it can be used to produce innnitely many families of rational functions that yield rational minimal surfaces{the Schwarzian derivative plays an important role in the proof. We also investigate a relationship between the transformation used in the iteration and the Darboux-BB acklund transformation for the Korteweg-de Vries equation.
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تاریخ انتشار 2007