Minimalflächen auf Möbius-Bändern
Karlheinz Schüffler
Heinrich-Heine-Universität, Düsseldorf, Germany
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Abstract
We develope a global analytic theory for non-orientiable minimal surfaces of the topological type of the Möbius strip. By function-theoretic methods it is possible to give the bundles of harmonic mappings and minimal surfaces including a variation of the conformal type. As an application we prove the so-called "index theorem for minimal surfaces" which in turn implies generic stability and isolatedness of the solutions of the Plateau problem.
Cite this article
Karlheinz Schüffler, Minimalflächen auf Möbius-Bändern. Z. Anal. Anwend. 9 (1990), no. 6, pp. 503–517
DOI 10.4171/ZAA/420