Mellish theorem for generalized constant width curves

被引:7
作者
Mozgawa, Witold [1 ]
机构
[1] Uniwersytet Marii Curie Sklodowskiej, Inst Matemat, PL-20031 Lublin, Poland
关键词
Support function; isoptic; constant width; constant alpha-width; Barbier theorem; Mellish theorem; curvature; ISOPTIC CHARACTERIZATION; OVALS;
D O I
10.1007/s00010-014-0321-3
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we give a generalization of the theorem characterizing ovals of constant width proved by Mellish (Ann Math (2) 32:181-190, 1931).
引用
收藏
页码:1095 / 1105
页数:11
相关论文
共 27 条
  • [1] Pythagorean-hodograph ovals of constant width
    Ait-Haddou, Rachid
    Herzog, Walter
    Biard, Luc
    [J]. COMPUTER AIDED GEOMETRIC DESIGN, 2008, 25 (4-5) : 258 - 273
  • [2] ANGHEL N, 2010, FORUM GEOM, V10, P21
  • [3] [Anonymous], 1988, SINGULARITIES
  • [4] Aratijo P.V., 1998, PORT MATH, V55, P355
  • [5] Benko K., 1990, U AI I CUZA IAS SECT, V36, P47
  • [6] ON ROSETTES AND ALMOST ROSETTES
    CIESLAK, W
    MOZGAWA, W
    [J]. GEOMETRIAE DEDICATA, 1987, 24 (02) : 221 - 228
  • [7] CIESLAK W, 1991, LECT NOTES MATH, V1481, P28
  • [8] Collaboration ofW. Fenchel, 1987, THEORY CONVEX BODIES, VIX
  • [9] Csima G., 2010, Stud. Univ. Zilina, V24, No, P15
  • [10] SETS SUBTENDING A CONSTANT ANGLE ON A CIRCLE
    GREEN, JW
    [J]. DUKE MATHEMATICAL JOURNAL, 1950, 17 (03) : 263 - 267