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

Download the digital copy of the doc pdf document

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.