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Lie applicable surfaces and curved flats

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.

Detalles Bibliográficos
Autores principales: Burstall, Francis, Pember, Mason
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9203414/
https://www.ncbi.nlm.nih.gov/pubmed/35726246
http://dx.doi.org/10.1007/s00229-021-01304-8