Cut Locus and Optimal Synthesis in Sub-Riemannian Problem on the Lie Group SH(2)

Yasir Awais Butt, Yuri L. Sachkov, Aamer Iqbal Bhatti

Global optimality analysis in sub-Riemannian problem on the Lie group SH(2) is considered. We cutout open dense domains in the preimage and in the image of the exponential mapping…