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Higher genus minimal surfaces by growing handles out of a catenoid

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Abstract

Starting with the catenoid we derive global Weierstraß representations for minimal surfaces obtained by pushing and pulling handles and by adding ends. The Weierstraß data are obtained from Riemann surfaces given by algebraic functions. Modifying the equations for these curves gives the new surfaces. New and well known examples are treated.

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  1. Sonderforschungsbereich 256 Institut für Angewandte Mathematik der Universität Bonn, Beringstr. 4, D-5300, Bonn 1

    Meinhard Wohlgemuth

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  1. Meinhard Wohlgemuth
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Wohlgemuth, M. Higher genus minimal surfaces by growing handles out of a catenoid. Manuscripta Math 70, 397–428 (1991). https://doi.org/10.1007/BF02568387

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  • DOI: https://doi.org/10.1007/BF02568387

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