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

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.

Institutions

Publication Details

Journal
Springer Link (Chiba Institute of Technology)
Published
2024-10-07
DOI
https://doi.org/10.1051/cocv/2024058/pdf
Primary Topic
Wheat and Barley Genetics and Pathology
Type
article
Field-Weighted Citation Impact
0.00

Funders

Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

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

Springer Link (Chiba Institute of Technology)
Wheat and Barley Genetics and Pathology
article

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

article en

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.

Springer Link (Chiba Institute of Technology)
University of Bologna (IT)
Istituto Nazionale di Alta Matematica "Francesco Severi"
Openalex Percentile: Top 37%
Wheat and Barley Genetics and Pathology
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Sub-Riemannian cut time and cut locus in Reiter–Heisenberg groups · Springer Link (Chiba Institute of Technology) (2024) | TGRS Research Map | TGRS