Angle measures and bisectors in Minkowski planes

被引:12
作者
Düvelmeyer, N [1 ]
机构
[1] Tech Univ Chemnitz, Fak Math, D-09107 Chemnitz, Germany
来源
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2005年 / 48卷 / 04期
关键词
radon curves; Minkowski geometry; Minkowski planes; angular bisector; angular measure; equiframed curves;
D O I
10.4153/CMB-2005-048-0
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove that a Minkowski plane is Euclidean if and only if Busemann's or Glogovskij's definitions of angular bisectors coincide with a bisector defined by an angular measure in the sense of Brass. In addition, bisectors defined by the area measure coincide with bisectors defined by the circumference (arc length) measure if and only if the unit circle is an equiframed curve.
引用
收藏
页码:523 / 534
页数:12
相关论文
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