Stratified β$\beta$‐numbers and traveling salesman in Carnot groups

DOI10.1112/jlms.12582arXiv1902.03268OpenAlexW4224023633MaRDI QIDQ6134491

Sean Li

Publication date: 22 August 2023

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.03268

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Nilpotent and solvable Lie groups (22E25) Sub-Riemannian geometry (53C17)

Related Items (3)

Subsets of rectifiable curves in Banach spaces. I: Sharp exponents in traveling salesman theorems ⋮ Subsets of rectifiable curves in Banach spaces. II: Universal estimates for almost flat arcs ⋮ Identifying 1-rectifiable measures in Carnot groups

Cites Work

• Unnamed Item
• Geometry of locally compact groups of polynomial growth and shape of large balls
• A counterexample for the geometric traveling salesman problem in the Heisenberg group
• An upper bound for the length of a traveling salesman path in the Heisenberg group
• Rectifiable sets and the traveling salesman problem
• Subsets of rectifiable curves in Hilbert space-the analyst's TSP
• Menger curvature and rectifiability in metric spaces
• The traveling salesman theorem in Carnot groups
• Analytic capacity, rectifiability, Menger curvature and the Cauchy integral
• A sharp necessary condition for rectifiable curves in metric spaces
• Coarse differentiation and quantitative nonembeddability for Carnot groups
• Hölder curves and parameterizations in the Analyst's traveling salesman theorem
• The geometric traveling salesman problem in the Heisenberg group
• The traveling salesman problem in the Heisenberg group: Upper bounding curvature
• A smooth subadditive homogeneous norm on a homogeneous group
• Characterization of Subsets of Rectifiable Curves in R ⁿ
• The analyst's traveling salesman theorem in graph inverse limits

This page was built for publication: Stratified β$\beta$‐numbers and traveling salesman in Carnot groups