Developable surfaces with prescribed boundary
Document typePart of book or chapter of book
Rights accessOpen Access
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.