SubRiemannian cut time and cut locus in Reiter-Heisenberg groups
Annamaria Montanari, Daniele Morbidelli
TL;DR
This paper investigates the subRiemannian cut time and cut locus in Reiter-Heisenberg groups, providing explicit descriptions and analysis of extremal curves using Hamiltonian methods.
Contribution
It offers a detailed analysis of cut time and cut locus in a class of step-2 Carnot groups, extending understanding of subRiemannian geometry in these structures.
Findings
Explicit formulas for cut time in Reiter-Heisenberg groups
Precise description of the cut locus set
Analysis of extremal curves via Hamiltonian methods
Abstract
We study the subRiemannian 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.
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Taxonomy
TopicsFrench Historical and Cultural Studies