Tangents and rectifiability of Ahlfors regular Lipschitz differentiability spaces

DOI10.1007/s00039-015-0325-8zbMath1318.28008arXiv1405.2461OpenAlexW2067735488MaRDI QIDQ2345934

Guy C. David

Publication date: 21 May 2015

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.2461

zbMATH Keywords

Lipschitz differentiability spacesAhlfors regularityGromov-Hausdorff tangent

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Analysis on metric spaces (30L99)

Related Items (12)

Tangent lines and Lipschitz differentiability spaces ⋮ Infinitesimal structure of differentiability spaces, and metric differentiation ⋮ Rigidity for convex-cocompact actions on rank-one symmetric spaces ⋮ Characterization of low dimensional \(RCD^\ast(K, N)\) spaces ⋮ A characterization of BLD-mappings between metric spaces ⋮ Pointed Gromov-Hausdorff topological stability for non-compact metric spaces ⋮ On the Lipschitz dimension of Cheeger–Kleiner ⋮ Regular mappings and non-existence of bi-Lipschitz embeddings for slit carpets ⋮ Sierpinski-type fractals are differentiably trivial ⋮ A Newman property for BLD-mappings ⋮ Characterising rectifiable metric spaces using tangent spaces ⋮ Bourgain-Brezis-Mironescu approach in metric spaces with Euclidean tangents

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