Local control on quaternionic Heisenberg group of dimension $7$
Differential Geometry
2024-04-16 v1 Optimization and Control
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.
Keywords
Cite
@article{arxiv.2404.08953,
title = {Local control on quaternionic Heisenberg group of dimension $7$},
author = {Jan Eisner and Lenka Zalabová},
journal= {arXiv preprint arXiv:2404.08953},
year = {2024}
}
Comments
16 pages, 3 figures