Differentiation in metric spaces

DOI10.1090/S1061-0022-05-00888-5zbMath1099.53029MaRDI QIDQ3376466

Alexander Lytchak

Publication date: 23 March 2006

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

metric spacesdifferentiationsubmetry

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (22)

Non-existence of concave functions on certain metric spaces ⋮ Morse quasiflats. I ⋮ A differential perspective on gradient flows on \(\mathbf{\mathsf{CAT}} (\kappa)\)-spaces and applications ⋮ Isometries, submetries and distance coordinates on Finsler manifolds ⋮ A temporal splitting theorem for chronological spaces ⋮ Rigidity theorems for submetries in positive curvature ⋮ Orbifolds from a metric viewpoint ⋮ Continuous pursuit curves on \(\mathrm{CAT}(K)\) spaces ⋮ Geodesically complete spaces with an upper curvature bound ⋮ One-sided derivative of distance to a compact set ⋮ Area minimizing discs in metric spaces ⋮ Gradient flows of time-dependent functionals in metric spaces and applications to PDEs ⋮ Ultrametricity and metric betweenness in tangent spaces to metric spaces ⋮ Tangent spaces and Gromov-Hausdorff limits of subanalytic spaces ⋮ Orientation and symmetries of Alexandrov spaces with applications in positive curvature ⋮ Gauss equation and injectivity radii for subspaces in spaces of curvature bounded above ⋮ Uniform convexity and smoothness, and their applications in Finsler geometry ⋮ Infinitesimal hilbertianity of locally \(\mathrm{CAT}(\kappa)\)-spaces ⋮ Collapsing three-dimensional closed Alexandrov spaces with a lower curvature bound ⋮ Almost convex subsets ⋮ The structure of submetries ⋮ Asymptotic topological regularity of \(\mathrm{CAT}(0)\) spaces

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• Rectifiable Metric Spaces: Local Structure and Regularity of the Hausdorff Measure
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