Involute-Evolute D-Curves in Minkowski 3-Space E13

被引：0
|
作者：
Almaz, Fatma [1 ]
Kulahci, Mihriban Alyamac [1 ]
机构：
[1] Firat Univ, Dept Math, TR-23119 Elazig, Turkey
来源：
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2021年 / 39卷 / 01期
关键词：
Involute-evolute curve; darboux frame; normal curvature; geodesic curvature;
D O I：
10.5269/bspm.37736
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we examine the notion of the involute-evolute curves for the curves lying the surfaces in Minkowski 3-space E-1(3). We call these new associated curves as involute-evolute and by using the Darboux frame of the curves. We give the representation formulae for spacelike curves in Minkowski 3-space E-1(3) and using this formulae we give some characterizations of these curves. Besides, we find the relations between the normal curvatures, the geodesic curvatures and the geodesic torsions of these curves.
引用
收藏
页码：147 / 156
页数：10
相关论文
共 50 条
  • [1] Special Involute-Evolute Partner D-Curves in E-3
    Bektas, Ozcan
    Yuce, Salim
    [J]. EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2013, 6 (01): : 20 - 29
  • [2] On the Involute-Evolute of the Pseudonull Curve in Minkowski 3-Space
    Ozturk, Ufuk
    Ozturk, Esra Betul Koc
    Ilarslan, Kazim
    [J]. JOURNAL OF APPLIED MATHEMATICS, 2013,
  • [3] Mannheim curves and their partner curves in Minkowski 3-space E13
    Elsharkawy, Ayman
    Elshenhab, Ahmed M.
    [J]. DEMONSTRATIO MATHEMATICA, 2022, 55 (01) : 798 - 811
  • [4] Null mannheim curves in the minkowski 3-space E13
    Oztekin, Handan B.
    Ergut, Mahmut
    [J]. TURKISH JOURNAL OF MATHEMATICS, 2011, 35 (01) : 107 - 114
  • [5] Some characterizations of Mannheim partner curves in the Minkowski 3-space E13
    Kahraman, Tanju
    Onder, Mehmet
    Kazaz, Mustafa
    Ugurlu, H. Huseyin
    [J]. PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES, 2011, 60 (04) : 210 - 220
  • [6] Slant null scrolls in Minkowski 3-space E13
    Onder, Mehmet
    Kaya, Onur
    [J]. KUWAIT JOURNAL OF SCIENCE, 2016, 43 (02) : 31 - 47
  • [7] DIRECTION CURVES OF GENERALIZED BERTRAND CURVES AND INVOLUTE-EVOLUTE CURVES IN E4
    Onder, Mehmet
    [J]. COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2022, 71 (02): : 326 - 338
  • [8] A different view of the tube surface in Minkowski 3-space E13
    Aslan, Muradiye Cimdiker
    Unluturk, Yasin
    [J]. TBILISI MATHEMATICAL JOURNAL, 2021, 14 (01) : 211 - 218
  • [9] DIFFERENTIAL EQUATIONS CHARACTERIZING TIMELIKE AND SPACELIKE CURVES OF CONSTANT BREADTH IN MINKOWSKI 3-SPACE E13
    Onder, Mehmet
    Kocayigit, Huseyin
    Candan, Elif
    [J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2011, 48 (04) : 849 - 866
  • [10] Generalized quaternionic involute-evolute curves in the Euclidean four-space E4
    Hanif, Muhammad
    Onder, Mehmet
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (07) : 4769 - 4780
12345