Estimate of the deformation of a strictly convex domain as a function of the change in the relative metric of its boundary

DOI10.1007/BF00974483zbMath0726.52005OpenAlexW2029340284MaRDI QIDQ803945

Victor Alexandrov

Publication date: 1990

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00974483

zbMATH Keywords

isometrydeformationHausdorff distanceK-quasi-isometric mappingstrictly convex set

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Metric geometry (51F99) General theory of distance geometry (51K05) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Cites Work

• Isometry of domains in \({\mathbb{R}}^ n\) and relative isometry of their boundaries. II
• Unnamed Item

This page was built for publication: Estimate of the deformation of a strictly convex domain as a function of the change in the relative metric of its boundary