On angles and the fundamental theorems of metric geometry

DOI10.1007/BF03322626zbMath0696.51007MaRDI QIDQ910712

Burkhard Alpers

Publication date: 1990

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

projective metric space

Mathematics Subject Classification ID

Congruence and orthogonality in metric geometry (51F20) Geometry of classical groups (51N30)

Related Items (2)

On mappings preserving orthogonality of non-singular vectors ⋮ Note on angle-preserving mappings

Cites Work

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• Fundamentalsätze der metrischen Geometrie. (Fundamental theorems of metric geometry)
• Martin's theorem for Euclidean n-space and a generalization to the perimeter case
• Bestimmung der orthogonalitätstreuen Permutationen Euklidischer Räume. (Determination of orthogonality preserving permutations of Euclidean spaces)
• Zur Kennzeichnung distanztreuer Abbildungen in nichteuklidischen Räumen
• Eine Note zur Charakterisierung von Ähnlichkeitsabbildungen. (A note on characterizations of similarities)
• Zum Transitivitätsverhalten metrischer Kollinationsgruppen. (On the transitivity behaviour of metric collineation groups)

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