Second order Killing tensors related to symmetric spaces
DOI10.1016/J.GEOMPHYS.2023.104911zbMath1526.37074arXiv2301.02774OpenAlexW4381331397MaRDI QIDQ6115715
Andreĭ Vladimirovich Tsyganov, E. O. Porubov
Publication date: 10 August 2023
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2301.02774
Differential geometry of homogeneous manifolds (53C30) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Applications of differential geometry to physics (53Z05) Differential geometry of symmetric spaces (53C35) Local Riemannian geometry (53B20) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)
Cites Work
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- Two integrable systems with integrals of motion of degree four
- New Lax pair for restricted multiple three wave interaction system, quasiperiodic solutions and bi-Hamiltonian structure
- Invariant classification of orthogonally separable Hamiltonian systems in Euclidean space
- Killing tensors with nonvanishing Haantjes torsion and integrable systems
- Separability in Riemannian manifolds
- Nonlinear Schrödinger equations and simple Lie algebras
- Orbit interpretation of Hamiltonian systems of the type of an anharmonic oscillator
- On integrable systems outside Nijenhuis and Haantjes geometry
- Symbolic software for separation of variables in the Hamilton-Jacobi equation for the \(L\)-systems
- On quadratic first integrals of the geodesic equations for type [22 spacetimes]
- The toda flow on a generic orbit is integrable
- Killing Tensors and Variable Separation for Hamilton-Jacobi and Helmholtz Equations
- Integrability of One Particle in a Perturbed Central Quartic Potential
- Multicomponent Fokas–Lenells equations on Hermitian symmetric spaces
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