27 citations · 162 across the 37 of their papers we have counts for
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math.OC2014★ 2 cited
Maxwell Strata and Conjugate Points in the Sub-Riemannian Problem on the Lie Group SH(2)
Yasir Awais Butt, Yuri L. Sachkov, Aamer Iqbal Bhatti
We study local and global optimality of geodesics in the left invariant sub-Riemannian problem on the Lie group . We obtain the complete description of the Maxwell…
math.OC2014★ 2 cited
Superintegrability of Sub-Riemannian Problems on Unimodular 3D Lie Groups
Alexey P. Mashtakov, Yuri L. Sachkov
Left-invariant sub-Riemannian problems on unimodular 3D Lie groups are considered. For the Hamiltonian system of Pontryagin maximum principle for sub-Riemannian geodesics, the Liou…
math.OC2014★ 6 cited
Sub-Riemannian geodesics on the free Carnot group with the growth vector (2,3,5,8)
Yuri Sachkov
We consider the free nilpotent Lie algebra with 2 generators, of step 4, and the corresponding connected simply connected Lie group . We study the left-invariant sub-Riemann…