On a Discretization of Confocal Quadrics. A Geometric Approach to General Parametrizations

DOI10.1093/imrn/rny279zbMath1466.37056arXiv1708.06800OpenAlexW3105844667MaRDI QIDQ5854278

Jan Techter, Wolfgang K. Schief, Yuri Borisovich Suris, Alexander Ivanovich Bobenko

Publication date: 16 March 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.06800

zbMATH Keywords

orthogonal coordinate systemsEuler-Poisson-Darboux systemincircular netsclassical confocal coordinates

Mathematics Subject Classification ID

Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Incidence structures embeddable into projective geometries (51A45) Finite partial geometries (general), nets, partial spreads (51E14) Linear incidence geometric structures with parallelism (51A15) Lattice dynamics; integrable lattice equations (37K60) Polar geometry, symplectic spaces, orthogonal spaces (51A50) General theory of nonlinear incidence geometry (51B05) Integrable difference and lattice equations; integrability tests (39A36)

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