On discrete orthogonal coordinates corresponding to torsion-free sheaves over reducible spectral curves

DOI10.1134/s0037446624050197MaRDI QIDQ6631348

A. Senninger

Publication date: 1 November 2024

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

latticeDarboux-Egorov metricKrichever methodsystem of orthogonal coordinates

Mathematics Subject Classification ID

Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Lattice dynamics; integrable lattice equations (37K60) Discrete differential geometry (53A70)

Cites Work

• Title not available (Why is that?)
• On Darboux-Egorov lattices
• Algebraic-geometric \(n\)-orthogonal curvilinear coordinate systems and solutions of the associativity equations
• Leçons sur les systèmes orthogonaux et les coordonnées curvilignes. Deuxième édition, complétée.
• Description of the \(n\)-orthogonal curvilinear coordinate systems and Hamiltonian integrable systems of hydrodynamic type. I: Integration of the Lamé equations
• Orthogonal curvilinear coordinate systems corresponding to singular spectral curves
• Discrete analogs of the Darboux-Egorov metrics
• Orthogonal curvilinear coordinate systems and torsion-free sheaves over reducible spectral curves

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