BERTRAND PARTNER P-TRAJECTORIES IN THE EUCLIDEAN 3-SPACE E3

被引：0

作者：

Isbilir, Zehra ^{[1
]}

Ozen, Kahraman Esen ^{[2
]}

Tosun, Murat ^{[3
]}

机构：

[1] Duzce Univ, Dept Math, Duzce, Turkiye

[2] Cankiri Karatekin Univ, Dept Math, Cankiri, Turkiye

[3] Sakarya Univ, Dept Math, Sakarya, Turkiye

来源：

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2023年 / 72卷 / 01期

关键词：

Kinematics of a particle; Bertrand curves; positional adapted frame; CURVES;

D O I：

10.31801/cfsuasmas.1094170

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The concept of a pair of curves, called as Bertrand partner curves, was introduced by Bertrand in 1850. Bertrand partner curves have been stud-ied widely in the literature from past to present. In this study, we take into account of the concept of Bertrand partner trajectories according to Positional Adapted Frame (PAF) for the particles moving in 3-dimensional Euclidean space. Some characterizations are given for these trajectories with the aid of the PAF elements. Then, we obtain some special cases of these trajectories. Moreover, we provide a numerical example.

引用

页码：216 / 228

页数：13

共 50 条

[1] MANNHEIM PARTNER P-TRAJECTORIES IN THE EUCLIDEAN 3-SPACE E3
Isbilir, Zehra
Ozen, Kahraman Esen
Tosun, Murat
[J]. HONAM MATHEMATICAL JOURNAL, 2022, 44 (03): : 419 - 431
[2] 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):
[3] 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
[4] Circular surfaces and singularities in Euclidean 3-space E3
Alluhaibi, Nadia
[J]. AIMS MATHEMATICS, 2022, 7 (07): : 12671 - 12688
[5] On helices and Bertrand curves in Euclidean 3-space
Babaarslan, Murat
Yayli, Yusuf
[J]. Mathematical and Computational Applications, 2013, 18 (01) : 1 - 11
[6] ON GENERALIZED BERTRAND CURVES IN EUCLIDEAN 3-SPACE
Demir, Demet
Ilarslan, Kazim
[J]. FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2023, 38 (01): : 199 - 208
[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] Spinor q-equations in Euclidean 3-space E3
Unal, Dogan
Unluturk, Yasin
[J]. SOFT COMPUTING, 2023, 27 (11) : 7023 - 7031
[9] New representations of Bertrand pairs in Euclidean 3-space
Tuncer, Yilmaz
Unal, Serpil
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2012, 219 (04) : 1833 - 1842
[10] A new approach to Bertrand curves in Euclidean 3-space
Çetin Camci
Ali Uçum
Kazım İlarslan
[J]. Journal of Geometry, 2020, 111

← 1 2 3 4 5 →