A Recursive Scheme of First Integrals of the Geodesic Flow of a Finsler Manifold
We review properties of so-called special conformal Killing tensors on a Riemannian manifold $(Q,g)$ and the way they give rise to a Poisson-Nijenhuis structure on the tangent bundle $TQ$. We then address the question of generalizing this concept to a Finsler space, where the metric tensor field com...
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Format: | Article |
Language: | English |
Published: |
National Academy of Science of Ukraine
2007-02-01
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Series: | Symmetry, Integrability and Geometry: Methods and Applications |
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Online Access: | http://www.emis.de/journals/SIGMA/2007/024/ |