| Issue |
ESAIM: COCV
Volume 30, 2024
|
|
|---|---|---|
| Article Number | 72 | |
| Number of page(s) | 24 | |
| DOI | https://doi.org/10.1051/cocv/2024058 | |
| Published online | 07 October 2024 | |
Sub-Riemannian cut time and cut locus in Reiter–Heisenberg groups
Dipartimento di Matematica, Alma Mater Studiorum Università di Bologna, Italy
* Corresponding author: annamaria.montanari@unibo.it
Received:
22
December
2023
Accepted:
1
August
2024
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.
Mathematics Subject Classification: 53C17 / 53C22 / 49K15
Key words: Carnot groups / cut locus / sub-Riemannian geodesic
© The authors. Published by EDP Sciences, SMAI 2024
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.