Halving circular arcs in normed planes

被引：0
|
作者：
Horst Martini
Senlin Wu
机构：
[1] Chemnitz University of Technology,Faculty of Mathematics
来源：
Periodica Mathematica Hungarica | 2008年 / 57卷
关键词：
arc length; chord length; Euclidean plane; inner product space; Minkowski plane; normed linear space; 46C15; 46B20; 52A21;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Studying the relation between the length of a chord of the unit circle and the length of the arc corresponding to it, some new characterizations of the Euclidean plane among all normed planes are obtained. All these results yield characterizations of inner product spaces in higher dimensions.
引用
收藏
页码：207 / 215
页数：8
相关论文
共 50 条
  • [1] HALVING CIRCULAR ARCS IN NORMED PLANES
    Martini, Horst
    Wu, Senlin
    [J]. PERIODICA MATHEMATICA HUNGARICA, 2008, 57 (02) : 207 - 215
  • [2] HALVING CLOSED CURVES IN NORMED PLANES AND RELATED INEQUALITIES
    He, Chan
    Martini, Horst
    Wu, Senlin
    [J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2009, 12 (04): : 719 - 731
  • [3] On the circular hull property in normed planes
    H. Martini
    M. Spirova
    [J]. Acta Mathematica Hungarica, 2009, 125 : 275 - 285
  • [4] On the circular hull property in normed planes
    Martini, H.
    Spirova, M.
    [J]. ACTA MATHEMATICA HUNGARICA, 2009, 125 (03) : 275 - 285
  • [5] ON THE NUMBER OF HALVING PLANES
    BARANY, I
    FUREDI, Z
    LOVASZ, L
    [J]. COMBINATORICA, 1990, 10 (02) : 175 - 183
  • [6] ON BISECTORS IN NORMED PLANES
    Jahn, Thomas
    Spirova, Margarita
    [J]. CONTRIBUTIONS TO DISCRETE MATHEMATICS, 2015, 10 (02) : 1 - 9
  • [7] COUNTING TRIANGLE CROSSINGS AND HALVING PLANES
    DEY, TK
    EDELSBRUNNER, H
    [J]. DISCRETE & COMPUTATIONAL GEOMETRY, 1994, 12 (03) : 281 - 289
  • [8] Slopes of bisectors in normed planes
    Väisälä J.
    [J]. Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2013, 54 (1): : 225 - 235
  • [9] Concepts of curvatures in normed planes
    Balestro, Vitor
    Martini, Horst
    Shonoda, Emad
    [J]. EXPOSITIONES MATHEMATICAE, 2019, 37 (04) : 347 - 381
  • [10] On Zindler Curves in Normed Planes
    Martini, Horst
    Wu, Senlin
    [J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2012, 55 (04): : 767 - 773
12345