Abnormal Extremals in the Sub-Riemannian Problem with Growth Vector $(2, 3, 5, 8, 14)$

    Received 30 July 2023; accepted 28 October 2023; published 24 November 2023

    2023, Vol. 19, no. 4, pp.  559-573

    Author(s): Sachkov Y. L., Sachkova E. F.

    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
    Citation: Sachkov Y. L., Sachkova E. F., Abnormal Extremals in the Sub-Riemannian Problem with Growth Vector $(2, 3, 5, 8, 14)$, Rus. J. Nonlin. Dyn., 2023, Vol. 19, no. 4, pp.  559-573
    DOI:10.20537/nd231104


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