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Generic properties of singular trajectories

Abstract : We give genericity results for singular trajectories in sub-Riemannian geometry: generically (in the sense of the Whitney topology), every singular trajectory is of minimal order and of corank 1 and in particular is not of Goh type if the rank of the distribution is greater or equal to 3. We extend these results to control-affine systems.
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Contributor : Emmanuel Trélat Connect in order to contact the contributor
Submitted on : Tuesday, July 18, 2006 - 2:36:20 PM
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  • HAL Id : hal-00086321, version 1


Yacine Chitour, Frédéric Jean, Emmanuel Trélat. Generic properties of singular trajectories. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2003, 337 (1), pp.49--52. ⟨hal-00086321⟩



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