Tangent segments and orthogonality types in normed planes

DOI10.1007/S00022-011-0063-5zbMath1228.51020OpenAlexW2088565771MaRDI QIDQ641700

Horst Martini, Senlin Wu

Publication date: 25 October 2011

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-011-0063-5

zbMATH Keywords

Euclidean planeMinkowski planeBirkhoff orthogonalitynormed planearc-length orthogonalitycharacterizations of inner product spacesequiframed curvesRadon planetangent segment

Mathematics Subject Classification ID

Euclidean geometries (general) and generalizations (51M05) Minkowski geometries in nonlinear incidence geometry (51B20)

Related Items (3)

Minkowski Geometry—Some Concepts and Recent Developments ⋮ Orthogonality Types in Normed Linear Spaces ⋮ Concepts of curvatures in normed planes

Cites Work

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• Antinorms and Radon curves
• The geometry of Minkowski spaces -- a survey. II.
• Angle Measures and Bisectors in Minkowski Planes
• Planes with analogues to Euclidean angular bisectors.
• Orthogonality and Linear Functionals in Normed Linear Spaces
• Orthogonality in normed linear spaces
• The geometry of Minkowski spaces -- a survey. I

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