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math.DG2024
Local control on quaternionic Heisenberg group of dimension
Jan Eisner, Lenka Zalabová
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 impa…
math.DG2024
Sub-Riemannian optimal synthesis for Carnot groups with the structure of a path geometry
Aleš Návrat, Lenka Zalabová
This paper explicitly constructs the complete set of optimal sub-Riemannian geodesics starting from a point for certain Carnot groups of step two. These are groups of dimension 2n+…