Developable surfaces with prescribed boundary
arXiv:2103.01270
Abstract
It is proved that a generic simple, closed, piecewise regular curve in space can be the boundary of only finitely many developable surfaces with nonvanishing mean curvature. The relevance of this result in the context of the dynamics of developable surfaces is discussed.
Submitted to the conference 'Women in Geometry and Topology', held on September 25-27, 2019, at the Centre de Recerca Matemàtica, Bellaterra, Spain