@article{d6ed1cfbc7bc4568849acc096f3612c6,
title = "Lie applicable surfaces and curved flats",
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.",
author = "Francis Burstall and Mason Pember",
note = "Funding Information: This work was supported by the Austrian Science Fund (FWF) through the research project P28427-N35 “Non-rigidity and symmetry breaking{"}, GNSAGA of INdAM and the MIUR grant “Dipartimenti di Eccellenza” 2018 - 2022, CUP: E11G18000350001, DISMA, Politecnico di Torino. Funding Information: Open access funding provided by Politecnico di Torino within the CRUI-CARE Agreement. ",
year = "2022",
month = jul,
day = "31",
doi = "10.1007/s00229-021-01304-8",
language = "English",
volume = "168",
pages = "525–533",
journal = "Manuscripta Mathematica",
issn = "0025-2611",
publisher = "Springer New York",
number = "3-4",
}