Quadratic Killing tensors on symmetric spaces which are not generated by Killing vector fields

DOI10.5802/crmath.624MaRDI QIDQ6633599

Vladimir S. Matveev, Yuri Nikolayevsky

Publication date: 6 November 2024

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

zbMATH Keywords

symmetric spacesquaternionic projective spaceCayley projective planequadratic Killing tensors

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Differential geometry of symmetric spaces (53C35) Local Riemannian geometry (53B20) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)

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