A criterion for the equivalence of the Euclidean and the geodesic metric on compact subsets of \({\mathbb{R}^N}\)

DOI10.1007/s00013-012-0355-5zbMath1247.54035OpenAlexW2059689568MaRDI QIDQ412021

Heiko Hoffmann

Publication date: 3 May 2012

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-012-0355-5

zbMATH Keywords

geodesic metricpointwise regularquasi-convexrectifiably connectedshortest path distanceuniformly regular

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Distance geometry (51K99)

Cites Work

• Normed algebras of differentiable functions on compact plane sets
• Completions of normed algebras of differentiable functions
• Metric spaces, convexity and nonpositive curvature
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