Markov convexity and nonembeddability of the Heisenberg group

DOI10.5802/aif.3045zbMath1439.30087arXiv1404.6751OpenAlexW2963400539MaRDI QIDQ507078

Sean Li

Publication date: 3 February 2017

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.6751

zbMATH Keywords

Heisenberg groupembeddingsbiLipschitz mapsMarkov convexity

Mathematics Subject Classification ID

Geometric embeddings of metric spaces (30L05)

Related Items

Metric Characterizations of Some Classes of Banach Spaces ⋮ Vertical perimeter versus horizontal perimeter ⋮ Estimates on the Markov convexity of Carnot groups and quantitative nonembeddability ⋮ Umbel convexity and the geometry of trees ⋮ Bi-Lipschitz embeddings of Heisenberg submanifolds into Euclidean spaces ⋮ An upper bound for the length of a traveling salesman path in the Heisenberg group ⋮ Nonpositive curvature is not coarsely universal

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