Eine Beckman-Quarles-Charakterisierung der Lorentztransformationen des \(\mathbb{R}^n\)
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Publication:1145896
DOI10.1007/BF01224997zbMath0446.51015OpenAlexW2036797168MaRDI QIDQ1145896
Publication date: 1980
Published in: Archiv der Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01224997
Related Items (12)
On mappings of the Galois space ⋮ Ein verschärfter und verallgemeinerter Satz von Alexandrov. (A sharpened and generalized theorem of Alexandrov) ⋮ Axiomatic Thinking in Physics—Essence or Useless Ornament? ⋮ The Beckman-Quarles theorem in Minkowski space for a spacelike square- distance ⋮ Zur Kennzeichnung distanztreuer Abbildungen in nichteuklidischen Räumen ⋮ A Beckman-Quarles type theorem for finite Desarguesian planes ⋮ Separation-preserving transformations of de Sitter spacetime ⋮ Eine Beckman-Quarles-Aussage für reguläre Metriken von Index \(\leq 2\). (A result of Beckman-Quarles type for regular metrics of index \(\leq 2.)\) ⋮ A characterization of plane Lorentz transformations ⋮ Transformations of Robertson-Walker spacetimes preserving separation zero ⋮ A characterization for isometries and conformal mappings of pseudo- Riemannian manifolds ⋮ On a general principle in geometry that leads to functional equations
Cites Work
- Zur Kennzeichnung der Lorentz-Transformationen
- A characterization of isometries of absolute planes
- Zur Charakterisierung der Lorentz-Transformationen
- The functional equation of distance preservance in spaces over rings
- Necessary and sufficient conditions for the linearity of transformations which preserve cones
- Transformations of n-Space which Preserve a Fixed Square-Distance
- Cone Preserving Mappings for Quadratic Cones Over Arbitrary Fields
- On Isometries of Euclidean Spaces
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