Cassini curves in normed planes

DOI10.1007/s00025-012-0260-zzbMath1276.52008OpenAlexW2045256209MaRDI QIDQ351115

Senlin Wu, Horst Martini

Publication date: 11 July 2013

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

Full work available at URL: https://doi.org/10.1007/s00025-012-0260-z

zbMATH Keywords

bisectorMinkowski planenormed planeCassini curvelower semi-inner productsupper semi-inner products

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Convex sets in (2) dimensions (including convex curves) (52A10) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)

Related Items (3)

Homogeneity of isosceles orthogonality, transitivity of the norm, and characterizations of inner product spaces ⋮ Minkowski Geometry—Some Concepts and Recent Developments ⋮ Classical curve theory in normed planes

Cites Work

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• Geometric mean and triangles inscribed in a semicircle in Banach spaces
• The geometry of Minkowski spaces -- a survey. II.
• Alfred Loewy (1873-1935) in Freiburg
• Orthogonality in normed linear spaces
• Zeros of hypergeometric polynomials \(F(-n,b;-2n;z)\)
• The geometry of Minkowski spaces -- a survey. I

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