Local control on quaternionic Heisenberg group of dimension 7

2024/04/13 by Jan Eisner, Eisner, Jan, Lenka Zalabová +1
Mathematics · Physics and Astronomy · #22E60 #35R03 #53C17 #Advanced Differential Geometry Research #Algebraic and Geometric Analysis #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Optimization and Control (math.OC)

paper · pdf · doi:10.48550/arxiv.2404.08953

openalex publication_date 2024/04/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We describe the quaternionic Heisenberg group in the dimension 7 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.

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