On the self-perimeter of pentagonal gauges

DOI10.1007/s00010-012-0126-1zbMath1260.46011OpenAlexW1978790869MaRDI QIDQ1759604

Horst Martini, Anatoly I. Shcherba

Publication date: 21 November 2012

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-012-0126-1

zbMATH Keywords

unit circleMinkowski planeself-perimeterconvex distance function gaugesnormalizing figure

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)

Related Items (1)

Discrete Geometry in Minkowski Spaces

Cites Work

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• On the self-perimeter of quadrangles for gauges
• Mixed areas and the self-circumference of a plane convex body
• Self-circumference of rotors
• Some properties of the self-circumference of convex sets
• The perimeter f Minkowski unit discs
• The geometry of Minkowski spaces -- a survey. I

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