Bounded representation and radial projections of bisectors in normed spaces

DOI10.1216/RMJ-2013-43-1-179zbMath1273.46005arXiv1002.0058OpenAlexW2963914878MaRDI QIDQ1951350

Horst Martini, Ákos G. Horváth

Publication date: 5 June 2013

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.0058

zbMATH Keywords

normed spaceMinkowski spacebisectorradial projectiontopological manifoldshadow boundarybounded representation

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Geometric structures on manifolds of high or arbitrary dimension (57N16) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Euclidean geometries (general) and generalizations (51M05)

Related Items (4)

Minkowski Geometry—Some Concepts and Recent Developments ⋮ Classical curve theory in normed planes ⋮ On the computation of zone and double zone diagrams ⋮ On Birkhoff orthogonality and isosceles orthogonality in normed linear spaces

Cites Work

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• On shadow boundaries of centrally symmetric convex bodies
• Bisectors in Minkowski 3-space
• The geometry of Minkowski spaces -- a survey. II.
• Orthogonality in linear metric spaces
• Inner products in normed linear spaces
• Orthogonality in normed linear spaces
• On bisectors in Minkowski normed spaces
• The geometry of Minkowski spaces -- a survey. I

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