Discrete cyclic systems and circle congruences

We discuss integrable discretizations of 3-dimensional cyclic systems, that is, orthogonal coordinate systems with one family of circular coordinate lines. In particular, the underlying circle congruences are investigated in detail and characterized by the existence of a certain flat connection. Wit...

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Detalles Bibliográficos
Autores principales: Hertrich-Jeromin, Udo, Szewieczek, Gudrun
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9579102/
https://www.ncbi.nlm.nih.gov/pubmed/36277432
http://dx.doi.org/10.1007/s10231-022-01219-5
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author Hertrich-Jeromin, Udo
Szewieczek, Gudrun
author_facet Hertrich-Jeromin, Udo
Szewieczek, Gudrun
author_sort Hertrich-Jeromin, Udo
collection PubMed
description We discuss integrable discretizations of 3-dimensional cyclic systems, that is, orthogonal coordinate systems with one family of circular coordinate lines. In particular, the underlying circle congruences are investigated in detail and characterized by the existence of a certain flat connection. Within the developed framework, discrete cyclic systems with a family of discrete flat fronts in hyperbolic space and discrete cyclic systems, where all coordinate surfaces are discrete Dupin cyclides, are investigated.
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spelling pubmed-95791022022-10-20 Discrete cyclic systems and circle congruences Hertrich-Jeromin, Udo Szewieczek, Gudrun Ann Mat Pura Appl Article We discuss integrable discretizations of 3-dimensional cyclic systems, that is, orthogonal coordinate systems with one family of circular coordinate lines. In particular, the underlying circle congruences are investigated in detail and characterized by the existence of a certain flat connection. Within the developed framework, discrete cyclic systems with a family of discrete flat fronts in hyperbolic space and discrete cyclic systems, where all coordinate surfaces are discrete Dupin cyclides, are investigated. Springer Berlin Heidelberg 2022-05-10 2022 /pmc/articles/PMC9579102/ /pubmed/36277432 http://dx.doi.org/10.1007/s10231-022-01219-5 Text en © The Author(s) 2022, corrected publication 2022 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
Hertrich-Jeromin, Udo
Szewieczek, Gudrun
Discrete cyclic systems and circle congruences
title Discrete cyclic systems and circle congruences
title_full Discrete cyclic systems and circle congruences
title_fullStr Discrete cyclic systems and circle congruences
title_full_unstemmed Discrete cyclic systems and circle congruences
title_short Discrete cyclic systems and circle congruences
title_sort discrete cyclic systems and circle congruences
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9579102/
https://www.ncbi.nlm.nih.gov/pubmed/36277432
http://dx.doi.org/10.1007/s10231-022-01219-5
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