Cone Preserving Mappings for Quadratic Cones Over Arbitrary Fields

DOI10.4153/CJM-1977-124-1zbMath0376.50003MaRDI QIDQ4153261

June A. Lester

Publication date: 1977

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Metric geometry (51F99) Local differential geometry of Lorentz metrics, indefinite metrics (53B30) Algebraization in linear incidence geometry (51A25)

Related Items (19)

Adjacency preservers on invertible Hermitian matrices. I. ⋮ Integral automorphisms of affine spaces over finite fields ⋮ Approximately measured causality implies the Lorentz group: Alexandrov- Zeeman result made more realistic ⋮ Ein verschärfter und verallgemeinerter Satz von Alexandrov. (A sharpened and generalized theorem of Alexandrov) ⋮ Eine Beckman-Quarles-Charakterisierung der Lorentztransformationen des \(\mathbb{R}^n\) ⋮ Conformal spaces ⋮ The Beckman-Quarles theorem in Minkowski space for a spacelike square- distance ⋮ Zur Kennzeichnung distanztreuer Abbildungen in nichteuklidischen Räumen ⋮ Ein einfacher Beweis des Satzes von Alexandroff-Lester. (A simple proof of the theorem of Alexandroff-Lester) ⋮ An observation about a theorem of A. D. Alexandrov concerning Lorentz transformations ⋮ Reconstructing an open order from its closure, with applications to space-time physics and to logic ⋮ Separation-preserving transformations of de Sitter spacetime ⋮ From (Idealized) exact causality-preserving transformations to practically useful approximately-preserving ones: a general approach ⋮ On Minkowski space and finite geometry ⋮ Computational complexity of determining which statements about causality hold in different space-time models ⋮ On 0-distance-preserving permutations of affine and projective quadrics ⋮ Der Satz von Beckman-Quarles im rationalen Raum. (The Beckman-Quarles theorem in rational space) ⋮ Transformations of Robertson-Walker spacetimes preserving separation zero ⋮ A characterization for isometries and conformal mappings of pseudo- Riemannian manifolds

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