Halving circular arcs in normed planes

DOI10.1007/s10998-008-8207-6zbMath1199.46064OpenAlexW2084527903MaRDI QIDQ1046750

Horst Martini, Senlin Wu

Publication date: 28 December 2009

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-008-8207-6

zbMATH Keywords

normed linear spaceEuclidean planeinner product spaceMinkowski planearc lengthchord length

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Characterizations of Hilbert spaces (46C15) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Minkowski geometries in nonlinear incidence geometry (51B20)

Related Items (2)

Minkowski Geometry—Some Concepts and Recent Developments ⋮ Isometric reflection vectors and characterizations of Hilbert spaces

Cites Work

• Unnamed Item
• The modulus of convexity in normed linear spaces
• Some characteristic and non-characteristic properties of inner product spaces
• Self-packing of centrally symmetric convex bodies in \(\mathbb{R}{}^ 2\)
• Characterizations of inner product spaces
• Antinorms and Radon curves
• The geometry of Minkowski spaces -- a survey. II.
• Angle Measures and Bisectors in Minkowski Planes
• A Property of Minkowskian Circles
• The geometry of Minkowski spaces -- a survey. I

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