Pereslavl-Zalessky, Yaroslavl Region, 152020 Russia
Ailamazyan Program Systems Institute of RAS
Sachkov Y. L., Sachkova E. F.
Symmetries and Parameterization of Abnormal Extremals in the Sub-Riemannian Problem with the Growth Vector (2, 3, 5, 8)
2019, Vol. 15, no. 4, pp. 577-585
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.