Geodesic
Symmetries and Parameterization of Abnormal Extremals in the Sub-Riemannian Problem with the Growth Vector (2, 3, 5, 8)
Russian journal of nonlinear dynamics, Tome 15 (2019) no. 4, pp. 577-585

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The left-invariant sub-Riemannian problem with the growth vector (2, 3, 5, 8) is considered. A two-parameter group of infinitesimal symmetries consisting of rotations and dilations is described. The abnormal geodesic flow is factorized modulo the group of symmetries. A parameterization of the vertical part of abnormal geodesic flow is obtained.
Keywords: sub-Riemannian geometry, abnormal extremals, symmetries. 
@article{ND_2019_15_4_a17,
     author = {Yu. L. Sachkov and E. F. Sachkova},
     title = {Symmetries and {Parameterization} of {Abnormal} {Extremals} in the {Sub-Riemannian} {Problem} with the {Growth} {Vector} (2, 3, 5, 8)},
     journal = {Russian journal of nonlinear dynamics},
     pages = {577--585},
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     volume = {15},
     number = {4},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ND_2019_15_4_a17/}
}
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Yu. L. Sachkov; E. F. Sachkova. Symmetries and Parameterization of Abnormal Extremals in the Sub-Riemannian Problem with the Growth Vector (2, 3, 5, 8). Russian journal of nonlinear dynamics, Tome 15 (2019) no. 4, pp. 577-585. http://geodesic.mathdoc.fr/item/ND_2019_15_4_a17/