On Integrable Nets in General and Concordant Chebyshev Nets in Particular

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2025
• 1. Verfasser: Marvan, Michal
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2025
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/213185
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: On Integrable Nets in General and Concordant Chebyshev Nets in Particular. Michal Marvan. SIGMA 21 (2025), 029, 34 pages

We consider general integrable curve nets in Euclidean space as a particular integrable geometry invariant with respect to rigid motions and net-preserving reparameterisations. For their description, we first give an overview of the most important second-order invariants and relations among them. As...