On the unique determination of domains by the condition of the local isometry of the boundaries in the relative metrics. II

DOI10.17377/SEMI.2017.14.083zbMath1431.53070MaRDI QIDQ2285181

Anatoliĭ Pavlovich Kopylov

Publication date: 16 January 2020

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

zbMATH Keywords

strict convexityintrinsic metriclocal isometry of boundariesrelative metric of the boundary

Mathematics Subject Classification ID

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

Cites Work

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• On the unique determination of domains by the condition of the local isometry of the boundaries in the relative metrics
• Necessary and sufficient conditions for the unique determination of plane domains
• Isometry of domains in \({\mathbb{R}}^ n\) and relative isometry of their boundaries
• On isometry of polygonal domains with boundaries locally isometric in relative metrics
• On unique determination of domains in Euclidean spaces

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