Publication

Developable surfaces with prescribed boundary

Conference Article

Conference

Trobada GEOMVAP - Geometria de Varietats i Aplicacions (GEOMVAP)

Edition

2019

Pages

127-132

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, 2019 Trobada GEOMVAP - Geometria de Varietats i Aplicacions , 2019, Cardona, in Extended Abstracts GEOMVAP 2019 - Geometry, Topology, Algebra, and Applications; Women in Geometry and Topology, Vol 15 of Trends in Mathematics - Research Perspectives CRM Barcelona, pp. 127-132, 2021, Springer-Birkhäuser, Cham.