20 nov 2020 -- 16:00
Politecnico di Torino - PRIN seminar (online)
Abstract.
Blaschke showed that a surface with one family of spherical curvature lines can be parametrised via a certain flow of an initial curve on a sphere. In this talk we characterise when this surface is additionally a Lie applicable surface, by restricting the flow and the initial curve. It turns out that the initial curve must project to a constrained elastic curve in some space form, which leads us to a Lie geometric characterisation of such curves.