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
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.
Follow us!