On the circular hull property in normed planes

DOI10.1007/s10474-009-9018-9zbMath1212.46032OpenAlexW2162336395MaRDI QIDQ987594

Margarita Spirova, Horst Martini

Publication date: 13 August 2010

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

Full work available at URL: https://doi.org/10.1007/s10474-009-9018-9

zbMATH Keywords

Minkowski planenormed plane(weak) circular intersection propertyaffine chordbody of constant (Minkowskian) widthcircular hull propertydiametrical chord

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 (6)

Ball convex bodies in Minkowski spaces ⋮ INTERSECTIONS OF BALLS AND SETS OF CONSTANT WIDTH IN FINITE‐DIMENSIONAL NORMED SPACES ⋮ Complete sets and completion of sets in Banach spaces ⋮ Complete sets in normed linear spaces ⋮ Ball and spindle convexity with respect to a convex body ⋮ Uniformly convex subsets of the Hilbert space with modulus of convexity of the second order

Cites Work

• On the area of the intersection of disks in the plane
• On the isoperimetric inequalities for Reuleaux polygons
• Ball-polyhedra
• Sets of constant width in finite dimensional Banach spaces
• The maximal set of constant width in a lattice
• The geometry of Minkowski spaces -- a survey. II.
• Lipschitzian Mappings and Total Mean Curvature of Polyhedral Surfaces. I
• Pushing disks apart - the Kneser-Poulsen conjecture in the plane
• Maximal Areas of Reuleaux Polygons
• On Minkowski bodies of constant width
• The geometry of Minkowski spaces -- a survey. I
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