We study the sub-Riemannian cut time and cut locus of a given point in a class of step-2 Carnot groups of Reiter–Heisenberg type. Following the Hamiltonian point of view, we write and analyze extremal curves, getting the cut time of any of them, and a precise description of the set of cut points.
MONTANARI, A., Morbidelli, D. (2024). Sub-Riemannian cut time and cut locus in Reiter-Heisenberg groups. ESAIM. COCV, 30, 1-24 [10.1051/cocv/2024058].
Sub-Riemannian cut time and cut locus in Reiter-Heisenberg groups
MONTANARI, ANNAMARIA
;Morbidelli, Daniele
2024
Abstract
We study the sub-Riemannian cut time and cut locus of a given point in a class of step-2 Carnot groups of Reiter–Heisenberg type. Following the Hamiltonian point of view, we write and analyze extremal curves, getting the cut time of any of them, and a precise description of the set of cut points.File in questo prodotto:
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