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:
Article
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
_version_ 1784728710415384576
author Burstall, Francis
Pember, Mason
author_facet Burstall, Francis
Pember, Mason
author_sort Burstall, Francis
collection PubMed
description 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.
format Online
Article
Text
id pubmed-9203414
institution National Center for Biotechnology Information
language English
publishDate 2021
publisher Springer Berlin Heidelberg
record_format MEDLINE/PubMed
spelling pubmed-92034142022-06-18 Lie applicable surfaces and curved flats Burstall, Francis Pember, Mason Manuscr Math Article 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. Springer Berlin Heidelberg 2021-04-21 2022 /pmc/articles/PMC9203414/ /pubmed/35726246 http://dx.doi.org/10.1007/s00229-021-01304-8 Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Burstall, Francis
Pember, Mason
Lie applicable surfaces and curved flats
title Lie applicable surfaces and curved flats
title_full Lie applicable surfaces and curved flats
title_fullStr Lie applicable surfaces and curved flats
title_full_unstemmed Lie applicable surfaces and curved flats
title_short Lie applicable surfaces and curved flats
title_sort lie applicable surfaces and curved flats
topic Article
url 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
work_keys_str_mv AT burstallfrancis lieapplicablesurfacesandcurvedflats
AT pembermason lieapplicablesurfacesandcurvedflats

Ejemplares similares