The ratios of diameter and width of reduced and of complete convex bodies in Minkowski spaces

DOI10.1007/s13366-017-0368-0zbMath1393.52003OpenAlexW2767768813MaRDI QIDQ1646648

Christian Richter

Publication date: 25 June 2018

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-017-0368-0

zbMATH Keywords

Minkowski spacediameterminimal widthreduced convex bodycomplete convex body

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (2)

Minkowski Geometry—Some Concepts and Recent Developments ⋮ Complete sets in normed linear spaces

Cites Work

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• Diametrically complete sets in Minkowski spaces
• Complete sets need not be reduced in Minkowski spaces
• Reduced bodies in Minkowski space
• Reduced convex bodies in finite dimensional normed spaces: a survey
• Reduced bodies in normed planes
• Sets of constant width in finite dimensional Banach spaces
• The geometry of Minkowski spaces -- a survey. II.
• Zwei Extremalprobleme der Minkowski-Geometrie

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