On the self-perimeter of quadrangles for gauges

DOI10.1007/s13366-011-0018-xzbMath1222.52001OpenAlexW2055367171MaRDI QIDQ536156

Horst Martini, Anatoly I. Shcherba

Publication date: 16 May 2011

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

Full work available at URL: https://doi.org/10.1007/s13366-011-0018-x

zbMATH Keywords

Minkowski planegaugesnormed planesconvex distance functionsnormalizing quadrangleself-perimeterunit circles

Mathematics Subject Classification ID

Length, area, volume and convex sets (aspects of convex geometry) (52A38) 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

On the self-perimeter of pentagonal gauges, Discrete Geometry in Minkowski Spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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