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\(\mathcal FK\)-convex functions on metric spaces

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Publication:1865665
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DOI10.1007/s00229-002-0330-8zbMath1020.53049OpenAlexW2086109105MaRDI QIDQ1865665

Richard L. Bishop, Stephanie B. Alexander

Publication date: 27 March 2003

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-002-0330-8


zbMATH Keywords

geodesicsLipschitz extensionapproximation theoremslength metric space


Mathematics Subject Classification ID

Convex functions and convex programs in convex geometry (52A41) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45) Direct methods ((G)-spaces of Busemann, etc.) (53C70)


Related Items (9)

Boundary regularity and stability for spaces with Ricci bounded below ⋮ The metric measure boundary of spaces with Ricci curvature bounded below ⋮ The Sormani–Wenger intrinsic flat convergence of Alexandrov spaces ⋮ Neumann heat flow and gradient flow for the entropy on non-convex domains ⋮ On the geometry of subsets of positive reach ⋮ Gauss equation and injectivity radii for subspaces in spaces of curvature bounded above ⋮ Extrinsic curvature of semiconvex subspaces in Alexandrov geometry ⋮ Almost convex subsets ⋮ The structure of submetries




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