On intrinsic isometries to Euclidean space

DOI10.1090/S1061-0022-2011-01169-0zbMath1225.53041arXiv1003.5621OpenAlexW2027113839MaRDI QIDQ3093177

Anton Petrunin

Publication date: 12 October 2011

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.5621

zbMATH Keywords

Riemannian metricpolyhedronpath isometryintrinsic isometrypro-Euclidean space

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items (5)

Isometric embeddings of polyhedra into Euclidean space ⋮ The topology and dynamics of the hyperspaces of normal fuzzy sets and their inverse limit spaces ⋮ Isometric embeddings of pro-Euclidean spaces ⋮ Piecewise distance preserving maps ⋮ The isometric embedding problem for length metric spaces

Cites Work

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• A constructive proof of Kirszbraun's theorem
• On intrinsic geometry of surfaces in normed spaces
• Structure of homogeneous locally compact spaces with intrinsic metric
• Extensions of distance reducing mappings to piecewise congruent mappings on \(R^ m\).
• The pseudo-arc
• Partial Differential Relations
• Two counterexamples in low-dimensional length geometry

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