ON CURVES IN THE LIGHTLIKE CONE

被引:0
作者
Oztekin, Handan Balgetir [1 ]
Ergut, Mahmut [1 ]
机构
[1] Firat Univ, Dept Math, Elazig, Turkey
来源
TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS | 2011年 / 2卷 / 02期
关键词
lightlike cone; involute; evolute; eigenvalue equation;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we define support function for curves with constant cone curvature K in the 2-dimensional lightlike cone and the evolute-involute curves and then characterize curves which satisfy eigenvalue equations for the support function in relation to the evolute-involute curves.
引用
收藏
页码:221 / 227
页数:7
相关论文
共 50 条
  • [41] KINEMATIC ANALYSIS OF THE PLANAR MOTION OF VEHICLES WHEN TRAVELLING ALONG TRACTRIX CURVES
    Figliolini, Giorgio
    Lanni, Chiara
    INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE, 2015, VOL 3, 2016,
  • [42] Geometric properties of rotation minimizing vector fields along curves in Riemannian manifolds
    Etayo, Fernando
    TURKISH JOURNAL OF MATHEMATICS, 2018, 42 (01) : 121 - 130
  • [43] On Special Kinds of Involute and Evolute Curves in 4-Dimensional Minkowski Space
    Hanif, Muhammad
    Hou, Zhong Hua
    Nisar, Kottakkaran Sooppy
    SYMMETRY-BASEL, 2018, 10 (08):
  • [44] Mixed-type curves and the lightcone frame in Minkowski 3-space
    Liu, Tongchang
    Pei, Donghe
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2020, 17 (06)
  • [45] Involutes of Pseudo-Null Curves in Lorentz-Minkowski 3-Space
    Lopez, Rafael
    Milin Sipus, Zeljka
    Primorac Gajcic, Ljiljana
    Protrka, Ivana
    MATHEMATICS, 2021, 9 (11)
  • [46] Contact Path Method of Generating Spherical Conjugated Curves as Bevel Gearing Tooth Profiles
    Leeheng Chan, Cody
    JOURNAL OF MECHANICAL DESIGN, 2023, 145 (05)
  • [47] Symbolic Computation of Equi-affine Evolute for Plane B-Spline Curves
    Demers, Eric
    Guibault, Francois
    Tribes, Christophe
    CURVES AND SURFACES, 2015, 9213 : 169 - 180
  • [48] Evolutes of the(n,m)-cusp mixed-type curves in the Lorentz-Minkowski plane
    Zhao, Xin
    Liu, Tongchang
    Pei, Donghe
    Zhang, Cuilian
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2021, 18 (01)
  • [49] ON CHARACTERIZATIONS ON THE SURFACES OF ROTATION FORMED BY MAGNETIC CURVES IN Q2 ⊂ E13
    Almaz, Fatma
    Kulahci, Mihriban Alyamac
    JOURNAL OF DYNAMICAL SYSTEMS AND GEOMETRIC THEORIES, 2023, 21 (02) : 163 - 179
  • [50] Evolutes and focal surfaces of (1, k)-type curves with respect to Bishop frame in Euclidean 3-space
    Li, Pengcheng
    Pei, Donghe
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (18) : 12147 - 12157