New Parametrization of Bertrand Partner D-curves in E3 *

被引：1
|
作者：
Tamta, Stuti [1 ]
Gupta, Ram Shankar [1 ]
机构：
[1] Univ Sch Basic & Appl Sci, Guru Gobind Singh Indraprastha Univ, Sect 16C, New Delhi 110078, India
来源：
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2024年 / 42卷
关键词：
Bertrand D-curves; Darboux frame; geodesic curvature; normal curvature; geodesic torsion; DARBOUX FRAME;
D O I：
10.5269/bspm.63309
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We define and study a new parametrization of a Bertrand partner D-curve {alpha, alpha*} in Euclidean 3-space by not taking Darboux frame element g* of Bertrand partner D-curve alpha* parallel to alpha alpha*. We obtain ---> necessary and sufficient condition for a curve to be such type of Bertrand D-curves. Also, we obtain a characterization of a new parametrization of asymptotic Bertrand D-curves and provide an example.
引用
收藏
页码：13 / 13
页数：1
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 Mannheim partner curves in E3
    Orbay, Keziban
    Kasap, Emin
    [J]. INTERNATIONAL JOURNAL OF THE PHYSICAL SCIENCES, 2009, 4 (05): : 261 - 264
  • [3] On Caputo fractional Bertrand curves in E3 and E31
    Tasdemir, Mert
    Canfes, Elif Ozkara
    Uzun, Banu
    [J]. FILOMAT, 2024, 38 (05) : 1681 - 1702
  • [4] BERTRAND PARTNER P-TRAJECTORIES IN THE EUCLIDEAN 3-SPACE E3
    Isbilir, Zehra
    Ozen, Kahraman Esen
    Tosun, Murat
    [J]. COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2023, 72 (01): : 216 - 228
  • [5] Surfaces Family with Bertrand Curves as Common Asymptotic Curves in Euclidean 3-Space E3
    Aldossary, Maryam T.
    Abdel-Baky, Rashad A.
    [J]. SYMMETRY-BASEL, 2023, 15 (07):
  • [6] Involute-Evolute D-Curves in Minkowski 3-Space E13
    Almaz, Fatma
    Kulahci, Mihriban Alyamac
    [J]. BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2021, 39 (01): : 147 - 156
  • [7] FREE CURVES IN E3
    GILLMAN, DS
    [J]. PACIFIC JOURNAL OF MATHEMATICS, 1969, 28 (03) : 533 - &
  • [8] Surface family pair with Bertrand pair as mutual geodesic curves in Euclidean 3-space E3
    Almoneef, Areej A.
    Abdel-Baky, Rashad A.
    [J]. AIMS MATHEMATICS, 2023, 8 (09): : 20546 - 20560
  • [9] INTERPOLATION TO NETWORKS OF CURVES IN E3
    WIXOM, JA
    [J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1978, 15 (06) : 1178 - 1193
  • [10] A NEW METHOD FOR CONSTRUCTION OF PH-HELICAL CURVES IN E3
    Camci, Cetin
    Ilarslan, Kazim
    [J]. COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, 2019, 72 (03): : 301 - 308
12345