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References
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[1] |
Montgomery, R., A Tour of Subriemannian Geometries, Their Geodesics and Applications, Math. Surveys Monogr., 91, AMS, Providence, R.I., 2002, xx+259 pp. |
[2] |
Agrachev, A. A. and Sachkov, Yu. L., Control Theory from the Geometric Viewpoint, Encyclopaedia Math. Sci., 87, Springer, Berlin, 2004 |
[3] |
Sachkov, Yu. L. and Sachkova, E. F., “Degenerate Abnormal Trajectories in a Sub-Riemannian Problem with Growth Vector $(2,3,5,8)$”, Differ. Equ., 53:3 (2017), 352–365 ; Differ. Uravn., 2017, no. 3, 362–374 (Russian) |
[4] |
Gauthier, J.-P. and Sachkov, Yu. L., “On the Free Carnot $(2, 3, 5, 8)$ Group”, Program Systems: Theory and Applications, 6:2(25) (2015), 45–61 |
[5] |
Sachkov, Yu. L. and Sachkova, E. F., “Structure of Abnormal Extremals in Sub-Riemannian Problem with the Growth Vector $(2,3,5,8)$” (to appear) |
[6] |
Lokutsievsky, L. V. and Sachkov, Yu. L., “On Liouville Integrability of Sub-Riemannian Problems on Carnot Groups of Step $4$ and More”, Sb. Math., 209:5 (2018), 672–713 ; Mat. Sb., 209:5 (2018), 74–119 (Russian) |
[7] |
Sachkov, Yu. L., “Symmetries of Flat Rank Two Distributions and Sub-Riemannian Structures”, Trans. Amer. Math. Soc., 356:2 (2004), 457–494 |