Constant diameter and constant width of spherical convex bodies

被引:5
作者
Han, Huhe [1 ]
Wu, Denghui [1 ]
机构
[1] Northwest A&F Univ, Coll Sci, Yangling, Shaanxi, Peoples R China
关键词
Constant width; Constant diameter; Polar set; Spherical convex body;
D O I
10.1007/s00010-020-00740-3
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we show that a spherical convex body C is of constant diameter tau if and only if C is of constant width tau, for 0 < tau < pi. Moreover, some applications to Wulff shapes are given.
引用
收藏
页码:167 / 174
页数:8
相关论文
共 50 条
  • [41] Stability of the sandy bottom of a channel of constant width
    A. G. Petrov
    I. I. Potapov
    [J]. Doklady Physics, 2010, 55 : 415 - 418
  • [42] On Constant Width Sets in Hilbert Spaces and Around
    Caspani, L.
    Papini, P. L.
    [J]. JOURNAL OF CONVEX ANALYSIS, 2015, 22 (03) : 889 - 900
  • [43] Mellish theorem for generalized constant width curves
    Witold Mozgawa
    [J]. Aequationes mathematicae, 2015, 89 : 1095 - 1105
  • [44] Pythagorean-hodograph ovals of constant width
    Ait-Haddou, Rachid
    Herzog, Walter
    Biard, Luc
    [J]. COMPUTER AIDED GEOMETRIC DESIGN, 2008, 25 (4-5) : 258 - 273
  • [45] Stability of the sandy bottom of a channel of constant width
    Petrov, A. G.
    Potapov, I. I.
    [J]. DOKLADY PHYSICS, 2010, 55 (08) : 415 - 418
  • [46] Vertices of Ovals with Constant Width Relative to Particular Circles
    Al-rabtah, Adel
    Al-Banawi, Kamal
    [J]. MATHEMATICS, 2023, 11 (19)
  • [47] Minimum area of a set of constant width in the hyperbolic plane
    Araujo, PV
    [J]. GEOMETRIAE DEDICATA, 1997, 64 (01) : 41 - 53
  • [48] Minimum Area of a Set of Constant Width in the Hyperbolic Plane
    Paulo Ventura Ara
    [J]. Geometriae Dedicata, 1997, 64 (1) : 41 - 53
  • [49] BODY OF CONSTANT WIDTH WITH MINIMAL AREA IN A GIVEN ANNULUS
    Henrot, Antoine
    Lucardesi, Ilaria
    [J]. JOURNAL DE L ECOLE POLYTECHNIQUE-MATHEMATIQUES, 2021, 8 : 415 - 438
  • [50] Constant Width Planar Computation Characterizes ACC0
    Kristoffer Arnsfelt Hansen
    [J]. Theory of Computing Systems, 2006, 39 : 79 - 92