Some Remarks on the Group of Isometries of a Metric Space

DOI10.1007/978-1-4614-3498-6_4zbMath1261.51003OpenAlexW201784875MaRDI QIDQ2905763

Vasile Bulgarean, Dorin Andrica

Publication date: 28 August 2012

Published in: Springer Optimization and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-3498-6_4

zbMATH Keywords

group of isometriesMazur-Ulam theoremtaxicab metricsemi-direct product of groupsisometry with respect to a metrictranslations group of the Euclidean \(n\)-space

Mathematics Subject Classification ID

Metric geometry (51F99) Distance geometry (51K99) General theory of distance geometry (51K05) Minkowski geometries in nonlinear incidence geometry (51B20) Analytic geometry with other transformation groups (51N25)

Related Items (3)

Characterization of mean value harmonic functions on norm induced metric measure spaces with weighted Lebesgue measure ⋮ Some Remarks on the Group of Isometries of a Metric Space ⋮ Iterated function systems enriched with symmetry

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