Orthogonal separation of variables for spaces of constant curvature

DOI10.1515/forum-2023-0300MaRDI QIDQ6658833

A. V. Bolsinov, Andrey Yu. Konyaev, Vladimir S. Matveev

Publication date: 8 January 2025

Published in: Forum Mathematicum (Search for Journal in Brave)

zbMATH Keywords

Hamilton-Jacobi equationseparation of variablesconstant curvature spacesKilling tensorsfinite-dimensional integrable systemsStäckel matrix

Mathematics Subject Classification ID

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) Hamilton-Jacobi equations in mechanics (70H20) Applications of local differential geometry to the sciences (53B50) Symmetries and conservation laws in mechanics of particles and systems (70S10) Local Riemannian geometry (53B20) Projective differential geometry (53A20) Local differential geometry (53B99) Local differential geometry of Lorentz metrics, indefinite metrics (53B30) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06) Symplectic and canonical mappings (37J11) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06) Relations of finite-dimensional Hamiltonian and Lagrangian systems with algebraic geometry, complex analysis, special functions (37J38)

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