Mannheim curves with modified orthogonal frame in Euclidean 3-space

被引:15
|
作者
Lone, Mohamd Saleem [1 ]
Es, Hasan [2 ]
Karacan, Murat Kemal [3 ]
Bukcu, Bahaddin [4 ]
机构
[1] Tata Inst Fundamental Res, Int Ctr Theoret Sci, Bengaluru, India
[2] Gazi Univ, Fac Educ, Div Math Educ, Ankara, Turkey
[3] Usak Univ, Fac Sci & Arts, Dept Math, 1 Eylul Campus, Usak, Turkey
[4] Gaziosmanpasa Univ, Fac Sci & Arts, Dept Math, Tokat, Turkey
关键词
Mannheim curves; Mannheim partner curve; Modified orthogonal frame; PARTNER CURVES;
D O I
10.3906/mat-1807-177
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we investigate Mannheim pairs, Frenet-Mannheim curves, and weakened Mannheim curves with respect to the modified orthogonal frame in Euclidean 3-space (E-3). We derive some characterization results of these curves.
引用
收藏
页码:648 / 663
页数:16
相关论文
共 50 条
  • [1] On Some Curves with Modified Orthogonal Frame in Euclidean 3-Space
    Lone, Mohamd Saleem
    Hasan, E. S.
    Karacan, Murat Kemal
    Bukcu, Bahaddin
    [J]. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2019, 43 (A4): : 1905 - 1916
  • [2] On Some Curves with Modified Orthogonal Frame in Euclidean 3-Space
    Mohamd Saleem Lone
    Hasan ES
    Murat Kemal Karacan
    Bahaddin Bukcu
    [J]. Iranian Journal of Science and Technology, Transactions A: Science, 2019, 43 : 1905 - 1916
  • [3] A Study Of The Evolution Of Space Curves With Modified Orthogonal Frame In Euclidean 3-Space
    Eren, Kemal
    [J]. APPLIED MATHEMATICS E-NOTES, 2022, 22 : 281 - 286
  • [4] A Study Of The Evolution Of Space Curves With Modified Orthogonal Frame In Euclidean 3-Space
    Eren, Kemal
    [J]. APPLIED MATHEMATICS E-NOTES, 2022, 22 : 281 - 286
  • [5] TUBULAR SURFACES WITH MODIFIED ORTHOGONAL FRAME IN EUCLIDEAN 3-SPACE
    Akyigit, Mahmut
    Eren, Kemal
    Kosal, Hidayet Huda
    [J]. HONAM MATHEMATICAL JOURNAL, 2021, 43 (03): : 453 - 463
  • [6] The Spinor Expressions of Mannheim Curves in Euclidean 3-Space
    Erisir, Tulay
    Isabeyoglu, Zeynep
    [J]. INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2023, 16 (01): : 111 - 121
  • [7] Mannheim B-Curves in the Euclidean 3-Space E3
    Masal, Melek
    Azak, Ayse Z.
    [J]. KUWAIT JOURNAL OF SCIENCE, 2017, 44 (01) : 36 - 41
  • [8] DUALITY AND ORTHOGONAL PROJECTIONS OF CURVES AND SURFACES IN EUCLIDEAN 3-SPACE
    BRUCE, JW
    FUSTER, MCR
    [J]. QUARTERLY JOURNAL OF MATHEMATICS, 1991, 42 (168): : 433 - 441
  • [9] Mannheim partner curves in 3-space
    Liu, Huili
    Wang, Fan
    [J]. JOURNAL OF GEOMETRY, 2008, 88 (1-2) : 120 - 126
  • [10] Spinors corresponding to modified orthogonal frames in Euclidean 3-space
    Azak, A. Z.
    Erisir, T.
    [J]. THEORETICAL AND MATHEMATICAL PHYSICS, 2024, 219 (02) : 712 - 721