Lie applicable surfaces and curved flats
Differential Geometry
2022-07-25 v1
Abstract
We investigate curved flats in Lie sphere geometry. We show that in this setting curved flats are in one-to-one correspondence with pairs of Demoulin families of Lie applicable surfaces related by Darboux transformation.
Keywords
Cite
@article{arxiv.2007.11947,
title = {Lie applicable surfaces and curved flats},
author = {Francis Burstall and Mason Pember},
journal= {arXiv preprint arXiv:2007.11947},
year = {2022}
}
Comments
7 pages