Turkish Journal of Mathematics and Computer Science

Turkish Journal of Mathematics and Computer Science

Characterizations of Curves According to Frenet Frame in Euclidean 3-Space

Yazarlar: Osman ÇAKIR, Süleyman ŞENYURT

Cilt 11 , Sayı 1 , 2019 , Sayfalar 48 - 52

Konular:Matematik

Anahtar Kelimeler:Regular curve,Connection,Mean curvature,Biharmonic,Differential equation

Özet: In this paper, we investigate the conditions of being an harmonic curve and research differential equations characterizing any differentiable curve in Euclidean 3-space. By means of the Laplacian image of the mean curvature vector field of a curve, it is stated which type of harmonic the curve is. Then we write the theorems related to the characterization of the curves and proved these theorems. When the differentiable curve, used throughout this paper, is specifically  replaced to the unit speed curve then it is seen that the results coincide with the study [4].   In addition we elucidate the characterizations of helix as an example.

ATIFLAR
Atıf Yapan Eserler
Henüz Atıf Yapılmamıştır
KAYNAK GÖSTER
BibTex
KOPYALA
@article{2019, title={Characterizations of Curves According to Frenet Frame in Euclidean 3-Space}, volume={11}, number={1}, publisher={Turkish Journal of Mathematics and Computer Science}, author={Osman ÇAKIR,Süleyman ŞENYURT}, year={2019}, pages={48–52} }
APA
KOPYALA
Osman ÇAKIR,Süleyman ŞENYURT. (2019). Characterizations of Curves According to Frenet Frame in Euclidean 3-Space (Vol. 11, pp. 48–52). Vol. 11, pp. 48–52. Turkish Journal of Mathematics and Computer Science.
MLA
KOPYALA
Osman ÇAKIR,Süleyman ŞENYURT. Characterizations of Curves According to Frenet Frame in Euclidean 3-Space. no. 1, Turkish Journal of Mathematics and Computer Science, 2019, pp. 48–52.
Atıf Görüntüle
PDF Görüntüle
Kaynak Görüntüle
Paylaş
Dergi Bilgileri