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math.DG2008★ 14 cited
Reduction and reconstruction aspects of second-order dynamical systems with symmetry
M. Crampin, T. Mestdag
We examine the reduction process of a system of second-order ordinary differential equations which is invariant under a Lie group action. With the aid of connection theory, we expl…
math.DG2007★ 2 cited
A Recursive Scheme of First Integrals of the Geodesic Flow of a Finsler Manifold
Willy Sarlet
We review properties of so-called special conformal Killing tensors on a Riemannian manifold and the way they give rise to a Poisson-Nijenhuis structure on the tangent bund…