Spherical curves in Lie sphere geometry

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.

This talk will be held on the occasion of the PRIN seminar organised by the Politecnico di Torino PRIN unit.

differential geometry

Audience: researchers in the topic

Differential Geometry Seminar Torino

Series comments: This is a hybrid seminar organized by the Differential Geometry groups of Università and Politecnico di Torino.

To subscribe to our mailing list and receive announcements of the talks, please send an e-mail to dgseminar.torino@gmail.com