Work

Sub-Riemannian cut time and cut locus in Reiter–Heisenberg groups

Year: 2024

Type: article

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.

Source: Springer Link (Chiba Institute of Technology)

DOI: 10.1051/cocv/2024058/pdf

Authors: Annamaria Montanari, Daniele Morbidelli

Institution: University of Bologna

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Istituto Nazionale di Alta Matematica "Francesco Severi"

Award: G5245466801