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


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


Convex distance functionsGaugesMinkowski planeNormalizing quadrangleNormed planesSelf-perimeterUnit circles

Mathematics Subject Classification (2000)


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