Isometries of Spheres

DOI10.2307/2160586zbMath0853.51012OpenAlexW4255776506MaRDI QIDQ4874113

Ulrich Everling

Publication date: 9 January 1997

Full work available at URL: https://doi.org/10.2307/2160586

zbMATH Keywords

isometryspheres

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Metric geometry (51F99) Elementary problems in Euclidean geometries (51M04) Congruence and orthogonality in metric geometry (51F20)

Cites Work

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• An elementary proof of the theorem of Beckman and Quarles
• A characterization of isometries of absolute planes
• Transformations of n-Space which Preserve a Fixed Square-Distance
• A Beckman-Quarles Type Theorem for Coxeter's Inversive Distance
• On the Aleksandrov Problem of Conservative Distances
• Characterizing Motions by Unit Distance Invariance
• On Isometries of Euclidean Spaces

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