Geodesic
Abnormal Extremals in the Sub-Riemannian Problem with Growth Vector $(2, 3, 5, 8, 14)$
Russian journal of nonlinear dynamics, Tome 19 (2023) no. 4, pp. 559-573

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We study the left-invariant sub-Riemannian problem on the free nilpotent Lie group of rank 2 and step 5. We describe some abnormal trajectories and some properties of the set filled by nice abnormal trajectories starting at the identity of the group.
Keywords: sub-Riemannian geometry, abnormal trajectories, geometric control 
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     title = {Abnormal {Extremals} in the {Sub-Riemannian} {Problem} with {Growth} {Vector} $(2, 3, 5, 8, 14)$},
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Yu. L. Sachkov; E. F. Sachkova. Abnormal Extremals in the Sub-Riemannian Problem with Growth Vector $(2, 3, 5, 8, 14)$. Russian journal of nonlinear dynamics, Tome 19 (2023) no. 4, pp. 559-573. http://geodesic.mathdoc.fr/item/ND_2023_19_4_a6/