Zur Kennzeichnung distanztreuer Abbildungen in nichteuklidischen Räumen

DOI10.1007/BF01922487zbMath0463.51015OpenAlexW2080658419MaRDI QIDQ1153553

Eberhard M. Schroeder

Publication date: 1980

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01922487

zbMATH Keywords

spaceliketimelikedistance preserving semilinear bijectionnoneuclidean regular metric vector space

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Congruence and orthogonality in metric geometry (51F20)

Related Items (7)

On mappings of the Galois space ⋮ On angles and the fundamental theorems of metric geometry ⋮ Ein einfacher Beweis des Satzes von Alexandroff-Lester. (A simple proof of the theorem of Alexandroff-Lester) ⋮ Lie sphere geometry in Hilbert spaces ⋮ Note on angle-preserving mappings ⋮ Der Satz von Beckman-Quarles im rationalen Raum. (The Beckman-Quarles theorem in rational space) ⋮ Eine Note zur Charakterisierung von Ähnlichkeitsabbildungen. (A note on characterizations of similarities)

Cites Work

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• Eine Ergänzung zum Satz von Beckman und Quarles
• Zur Kennzeichnung der Lorentz-Transformationen
• Eine Beckman-Quarles-Charakterisierung der Lorentztransformationen des \(\mathbb{R}^n\)
• A characterization of isometries of absolute planes
• Zur Charakterisierung der Lorentz-Transformationen
• The functional equation of distance preservance in spaces over rings
• The structure of space-time transformations
• Transformations of n-Space which Preserve a Fixed Square-Distance
• Cone Preserving Mappings for Quadratic Cones Over Arbitrary Fields
• Causality Implies the Lorentz Group
• On Isometries of Euclidean Spaces

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