The geometric traveling salesman problem in the Heisenberg group
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Publication:2468411
DOI10.4171/RMI/502zbMath1142.28004OpenAlexW1983972212MaRDI QIDQ2468411
Bruno Franchi, Fausto Ferrari, Hervé Pajot
Publication date: 22 January 2008
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.rmi/1190831218
Length, area, volume, other geometric measure theory (28A75) Analysis on other specific Lie groups (43A80)
Related Items (16)
The strong geometric lemma for intrinsic Lipschitz graphs in Heisenberg groups ⋮ The traveling salesman theorem in Carnot groups ⋮ The traveling salesman theorem for Jordan curves ⋮ A counterexample for the geometric traveling salesman problem in the Heisenberg group ⋮ Stratified β$\beta$‐numbers and traveling salesman in Carnot groups ⋮ A \(d\)-dimensional analyst's travelling salesman theorem for subsets of Hilbert space ⋮ Identifying 1-rectifiable measures in Carnot groups ⋮ Subsets of rectifiable curves in Hilbert space-the analyst's TSP ⋮ Quantitative comparisons of multiscale geometric properties ⋮ Singular integrals on regular curves in the Heisenberg group ⋮ Multiscale analysis of 1-rectifiable measures. II: Characterizations ⋮ The traveling salesman problem in the Heisenberg group: Upper bounding curvature ⋮ A sharp necessary condition for rectifiable curves in metric spaces ⋮ An upper bound for the length of a traveling salesman path in the Heisenberg group ⋮ Effective Reifenberg theorems in Hilbert and Banach spaces ⋮ The restricted content and the \(d\)-dimensional Analyst's travelling salesman theorem for general sets
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