Rational minimal surfaces

by McCune, Catherine

Abstract (Summary)
In this thesis we investigate rational minimal surfaces--a special class of minimal surfaces with finite total curvature and Enneper type ends. We define an iteration for Gauss maps and show that it can be used to produce infinitely 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 dualization, as defined in the iteration, and the Darboux-B�¤cklund transformation for the Korteweg-de Vries equation.
Bibliographical Information:


School:University of Massachusetts Amherst

School Location:USA - Massachusetts

Source Type:Master's Thesis



Date of Publication:01/01/1999

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