Minimalflächen auf Möbius-Bändern

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.