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

DOI10.17377/semi.2017.14.008zbMath1360.53072arXiv1511.04235MaRDI QIDQ515216

Anatoliĭ Pavlovich Kopylov

Publication date: 13 March 2017

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

Full work available at URL: https://arxiv.org/abs/1511.04235

zbMATH Keywords

rigiditysmooth boundarystrict convexityrelative metricsbounded closed convex surfacesbounded plane domains

Mathematics Subject Classification ID

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

Related Items (1)

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

Cites Work

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• \(\Phi\)-harmonic functions on discrete groups and the first \(\ell^\Phi\)-cohomology
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• Rough isometries and the parabolicity of Riemannian manifolds
• On unique determination of domains in Euclidean spaces
• A criterion for the unique determination of domains in Euclidean spaces by the metrics of their boundaries induced by the intrinsic metrics of the domains
• A new proof of Gromov’s theorem on groups of polynomial growth
• Rigidity Conditions for the Boundaries of Submanifolds in a Riemannian Manifold

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