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Minimal surfaces with prescribed topological type on a Schwarzian chain inM 3 c

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Abstract

Similar to the investigations of unstable polygonal minimal surfaces by Courant [1] we introduce here a variational principle for the free boundary problem with prescribed topological type which produces minimal surfaces in Riemannian manifolds with constant curvature. For special boundary configurations the surfaces have no branch points. The approach can be applied to numerical algorithms since it is constructive.

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  1. Technische Universität Berlin, Fachbereich 3 — Mathematik, D - 10623, Berlin, Germany

    Ivo Nowak

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  1. Ivo Nowak
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Nowak, I. Minimal surfaces with prescribed topological type on a Schwarzian chain inM 3 c . Ann Glob Anal Geom 11, 331–344 (1993). https://doi.org/10.1007/BF00773549

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  • DOI: https://doi.org/10.1007/BF00773549

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