This article is cited in 5 papers

Unit Disk of the Smallest Self-Perimeter in a Minkowski Plane

A. I. Shcherba

Cherkassk Branch of Kiev Polytechnic Institute

Abstract: On a Minkowski plane with nonsymmetric metric, we find all unit disks with self-perimeter 6, the smallest possible value.

Keywords: Minkowski plane, nonsymmetric metric, self-perimeter.

UDC: 514.7(075.8)

Received: 20.12.2005
Revised: 30.05.2006

DOI: 10.4213/mzm3522

 English version: Mathematical Notes, 2007, 81:1, 108–116

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