Quadratic Killing tensors on symmetric spaces which are not generated by Killing vector fields
Every Killing tensor field on the space of constant curvature and on the complex projective space can be decomposed into the sum of symmetric tensor products of Killing vector fields (equivalently, every polynomial in velocities integral of the geodesic flow is a polynomial in the linear integrals)....
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Main Authors: | Matveev, Vladimir S., Nikolayevsky, Yuri |
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Format: | Article |
Language: | English |
Published: |
Académie des sciences
2024-11-01
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Series: | Comptes Rendus. Mathématique |
Subjects: | |
Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.624/ |
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