The fundamental theorems of affine and projective geometry revisited

DOI10.1142/S0219199716500590zbMath1387.14146arXiv1604.01762OpenAlexW2963241590MaRDI QIDQ5354379

Boaz A. Slomka, Shiri Artstein-Avidan

Publication date: 1 September 2017

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.01762

zbMATH Keywords

fundamental theoremcollineationaffine-additive map

Mathematics Subject Classification ID

Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10) General theory of linear incidence geometry and projective geometries (51A05) Linear incidence geometric structures with parallelism (51A15)

Related Items (3)

The fundamental theorem of affine geometry ⋮ On order-preserving and order-reversing mappings defined on cones of convex functions ⋮ Bi-geodesic mappings between pairs of pants

Cites Work

• Order isomorphisms in cones and a characterization of duality for ellipsoids
• The endomorphisms of the lattice of norms in finite dimensions
• Synthetic projective geometry and Poincaré's theorem on automorphisms of the ball
• Einige Anwendungen der projektiven Geometrie auf Fragen der Flächentheorie
• Injective Morphisms of Real Algebraic Varieties
• Lorentz Transformations of a Hilbert Space
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• Spacetime
• Order Isomorphisms on Convex Functions in Windows
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