Ultrarigid tangents of sub-Riemannian nilpotent groups

DOI10.5802/aif.2912zbMath1312.53055arXiv1104.3071OpenAlexW2962811287WikidataQ109520646 ScholiaQ109520646MaRDI QIDQ486841

Enrico Le Donne, Alessandro Ottazzi, Ben Warhurst

Publication date: 16 January 2015

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

Full work available at URL: https://arxiv.org/abs/1104.3071

zbMATH Keywords

nilpotent groupsquasiconformal mapssub-Riemannian geometryCarnot groupsGromov-Hausdorff convergencemetric tangents

Mathematics Subject Classification ID

Lipschitz (Hölder) classes (26A16) Nilpotent and solvable Lie groups (22E25) Sub-Riemannian geometry (53C17) Quasiconformal mappings in metric spaces (30L10)

Related Items

A rectifiability result for finite-perimeter sets in Carnot groups ⋮ Quasiregular mappings on sub-Riemannian manifolds ⋮ Lipschitz homotopy groups of contact 3-manifolds ⋮ Pliability, or the Whitney extension theorem for curves in Carnot groups ⋮ Surface measure on, and the local geometry of, sub-Riemannian manifolds ⋮ Carnot rectifiability of sub-Riemannian manifolds with constant tangent ⋮ Left-invariant distributions diffeomorphic to flat distributions ⋮ Pauls rectifiable and purely Pauls unrectifiable smooth hypersurfaces ⋮ Conformality and \(Q\)-harmonicity in sub-Riemannian manifolds ⋮ Carnot metrics, dynamics and local rigidity

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