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 $\mathrm{SH}(2)$. We obtain the complete description of the Maxwell…