Isometry of polyhedral domains, the boundaries of which are locally isometric in relative metrics

DOI10.1007/BF00971088zbMath0787.54037MaRDI QIDQ1204672

Victor Alexandrov

Publication date: 18 March 1993

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

zbMATH Keywords

cageframeworkgeneralized boundaryinternal metricpolyhedral boundary

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Topological characterizations of particular spaces (54F65) Polyhedral manifolds (52B70)

Cites Work

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• Stability of isometric mappings
• Minimal conditions determining isometries and similarities
• Isometry of domains in \({\mathbb{R}}^ n\) and relative isometry of their boundaries. II
• Uniqueness of domains with non-Jordan boundaries
• Foundations of geometry

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