Work

Local control on quaternion Heisenberg group of dimension 7

Year: 2026

Type: article

Abstract: We explicitly describe the quaternion Heisenberg group in the dimension 7 and we study the local (optimal) control of the compatible control system. We employ the Hamiltonian viewpoint to find sub-Riemannian geodesics of the corresponding sub-Riemannian structure, and we describe the impact of Lie symmetries on their optimality.

Source: Monatshefte für Mathematik

DOI: 10.1007/s00605-026-02170-w

Authors: Jan Eisner, Lenka Zalabová

Institutions: University of South Bohemia in České Budějovice, Masaryk University

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funder: Grantová Agentura České Republiky