Spherical geometry and integrable systems

DOI10.1007/s10711-013-9843-4zbMath1304.37040arXiv1208.3625OpenAlexW3103612909MaRDI QIDQ2248878

Matteo Petrera, Yuri Borisovich Suris

Publication date: 27 June 2014

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.3625

zbMATH Keywords

integrable systemsmultidimensional consistencyEuler topspherical trianglecosine lawsine lawdiscrete Darboux systemHirota-Kimura discretizationsphericals simple

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25)

Related Items (4)

S. V. Kovalevskaya system, its generalization and discretization ⋮ On the classification of multidimensionally consistent 3D maps ⋮ Reciprocity of the Wigner derivative for spherical tetrahedra ⋮ Three classes of quadratic vector fields for which the Kahan discretisation is the root of a generalised Manin transformation

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