Publication
Developable surfaces with prescribed boundary
Book Chapter (2021)
Book Title
Extended Abstracts GEOMVAP 2019
Publisher
Springer-Birkhäuser
Pages
127-132
Volume
15
Serie
Trends in Mathematics-Research Perspectives CRM Barcelona
Doc link
https://doi.org/10.1007/978-3-030-84800-2_21
File
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.
Categories
pattern recognition.
Author keywords
Space curve; developable surface; boundary
Scientific reference
M. Alberich-Carramiñana, J. Amorós and F. Coltraro. Developable surfaces with prescribed boundary. In Extended Abstracts GEOMVAP 2019, 127-132. Springer-Birkhäuser, 2021.
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