Discrete cyclic systems and circle congruences
Exactly Solvable and Integrable Systems
2022-05-19 v1 Differential Geometry
Abstract
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.
Cite
@article{arxiv.2104.13441,
title = {Discrete cyclic systems and circle congruences},
author = {Udo Hertrich-Jeromin and Gudrun Szewieczek},
journal= {arXiv preprint arXiv:2104.13441},
year = {2022}
}
Comments
22 pages, 5 figures