Developable surfaces with prescribed boundary

2021/03/01 by Maria Alberich-Carramiñana, Alberich-Carramiñana, Maria, Jaume Amorós +3
Mathematics · #53C24 #53C42 #53Z30 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53C24 #msc:53C42 #msc:53Z30

paper · pdf · doi:10.48550/arxiv.2103.01270

Submitted to the conference 'Women in Geometry and Topology', held on September 25-27, 2019, at the Centre de Recerca Matemàtica, Bellaterra, Spain

arxiv created 2021/03/01 · arxiv updated 2021/03/03

Abstract

It is proved that a generic simple, closed, piecewise regular curve in space can be the boundary of only finitely many developable surfaces with nonvanishing mean curvature. The relevance of this result in the context of the dynamics of developable surfaces is discussed.

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