Metric affine geometry on the universe of lines
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Publication:1020941
DOI10.1016/j.laa.2009.01.028zbMath1169.51018OpenAlexW2114690363MaRDI QIDQ1020941
Krzysztof Prażmowski, Małgorzata Grochowska-Prażmowska, Mariusz Żynel
Publication date: 4 June 2009
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2009.01.028
Elementary problems in Euclidean geometries (51M04) Congruence and orthogonality in metric geometry (51F20)
Related Items (4)
Grassmann spaces of regular subspaces ⋮ Geometry on the lines of spine spaces ⋮ Mappings preserving the area equality of hyperbolic triangles are motions ⋮ Affine semipolar spaces
Cites Work
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- Inzidenzräume mit Orthogonalität
- The Minkowski group
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- Eine Kennzeichnung der Ähnlichkeiten affiner Räume mit definiter Orthogonalitätsstruktur. (A characterization of similarities of affine spaces with definite orthogonality structure)
- Zur Kennzeichnung Fanoscher affin-metrischer Geometrien
- Subspaces and parallelity in semiaffine partial linear spaces
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- Minkowskische und absolute Geometrie. I, II
- Relations on lines as primitive notions for Euclidean geometry
- An Axiomatics for Hyperbolic Projective-Metric Planes in Terms of Lines and Orthogonality
- On orthogonality-preserving Plücker transformations of hyperbolic spaces
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