paper

Local control on quaternionic Heisenberg group of dimension

arXiv:2404.08953

Abstract

We describe the quaternionic Heisenberg group in the dimension as a matrix group. We study the local control of a compatible left-invariant control system. We describe the impact of symmetries of the corresponding sub-Riemannian structure on the optimality of geodesics.

arXiv comment16 pages, 3 figures