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arXiv · 2103.01270

Developable surfaces with prescribed boundary

Maria Alberich-Carramiñana·Jaume Amorós·Franco Coltraro
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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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Maria Alberich-Carramiñana, Jaume Amorós, Franco Coltraro. 2021-03-01. Developable surfaces with prescribed boundary. https://arxiv.org/abs/2103.01270

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