On the self-perimeter of quadrangles for gauges

Original Paper

DOI: 10.1007/s13366-011-0018-x

Cite this article as:
Martini, H. & Shcherba, A. Beitr Algebra Geom (2011) 52: 191. doi:10.1007/s13366-011-0018-x

Abstract

We give a lower bound on the self-perimeter of unit circles of convex distance functions (gauges) that have the shapes of quadrangles.

Keywords

Convex distance functions Gauges Minkowski plane Normalizing quadrangle Normed planes Self-perimeter Unit circles 

Mathematics Subject Classification (2000)

52A10 52A21 52A38 

Copyright information

© The Managing Editors 2011

Authors and Affiliations

  1. 1.Faculty of MathematicsUniversity of TechnologyChemnitzGermany
  2. 2.Department of Industrial Computer TechnologiesCherkassy State Technological UniversityCherkassyUkraine

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