Developable surfaces with prescribed boundary

Cita com:
hdl:2117/362713
Document typePart of book or chapter of book
Defense date2021
PublisherSpringer-Birkhäuser
Rights accessOpen Access
Except where otherwise noted, content on this work
is licensed under a Creative Commons license
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Attribution-NonCommercial-NoDerivs 3.0 Spain
Abstract
It is proved that a generic simple, closed, piecewise regular curve in space can be the boundary of only infinitely many developable surfaces with nonvanishing mean curvature. The relevance of this result in the context of the dynamics of developable surfaces is discussed.
CitationAlberich, M.; Amoros, J.; Coltraro, F. Developable surfaces with prescribed boundary. A: "Extended Abstracts GEOMVAP 2019". Springer-Birkhäuser, 2021, p. 127-132.
Publisher versionhttps://link.springer.com/chapter/10.1007/978-3-030-84800-2_21
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