Isometry of domains in \({\mathbb{R}}^ n\) and relative isometry of their boundaries

DOI10.1007/BF00968973zbMath0576.53040MaRDI QIDQ1065373

Victor Alexandrov

Publication date: 1984

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

zbMATH Keywords

isometryrectifiable curvesrelative metricpiecewise-smooth boundaries

Mathematics Subject Classification ID

Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

Related Items (3)

Problems of unique determination of domains by the relative metrics on their boundaries ⋮ On the unique determination of domains by the condition of the local isometry of the boundaries in the relative metrics. II ⋮ Rigidity Conditions for the Boundaries of Submanifolds in a Riemannian Manifold

Cites Work

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• The present status of the theory of dimension
• Rotation and strain
• On quasi‐isometric mappings, I
• On quasi‐isometric mappings, II

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