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A uniqueness theorem for properly embedded minimal surfaces bounded by straight lines

Part of: Global differential geometry Classical differential geometry

Published online by Cambridge University Press:  09 April 2009

Francisco J. Lopez  and
Francisco Martin
Francisco J. Lopez
Affiliation:
Departamento de Geometría y Topología Universidad de Granada18071 GranadaSpain e-mail: fjlopez@ugr.es, fmartin@ugr.es
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Abstract

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In this paper we prove a uniqueness theorem for minimal discs in R3 spanning a polygonal boundary.

Keywords

properly embedded minimal surfacesboundarystraight lines

MSC classification

Secondary: 53A10: Minimal surfaces, surfaces with prescribed mean curvature 53C42: Immersions (minimal, prescribed curvature, tight, etc.)
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 69 , Issue 3 , December 2000 , pp. 362 - 402
Copyright
Copyright © Australian Mathematical Society 2000

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