On isometry of polygonal domains with boundaries locally isometric in relative metrics

DOI10.1007/BF00971122zbMath0788.54042OpenAlexW2081154080MaRDI QIDQ1204740

M. K. Borovikova

Publication date: 28 March 1993

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

Full work available at URL: https://doi.org/10.1007/bf00971122

zbMATH Keywords

carrierboundary elementrelative metricgeneralized boundary

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Topological characterizations of particular spaces (54F65) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (4)

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 ⋮ On unique determination of domains in Euclidean spaces ⋮ Unique determination of domains by the condition of local isometry of boundaries in the relative metrics

Cites Work

• Unnamed Item
• 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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