On angular measures in Minkowski planes

被引：8

作者：

Fankhaenel, Andreas ^{[1
]}

机构：

[1] Univ Technol Chemnitz, Fac Math, D-09107 Chemnitz, Germany

来源：

BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY | 2011年 / 52卷 / 02期

关键词：

Angular measure; Birkhoff orthogonality; James orthogonality; Minkowski geometry; Normed plane; Radon curve; Radon plane; Thales' theorem;

D O I：

10.1007/s13366-011-0011-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce the notion of angular measure in a Minkowski plane and prove that the plane has to be Euclidean if any two James-orthogonal vectors form an angle of value pi/2, but need not be Euclidean if any two Birkhoff orthogonal vectors do so.

引用

页码：335 / 342

页数：8

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