Canal Surface Around A Spacelike Focal Curve In Lorentz 3-Space

Abdullah Yıldırım

Canal Surface Around A Spacelike Focal Curve In Lorentz 3-Space

Öz

In this paper, we study the tubular surface around a spacelike focal curve in Lorentz 3-Space. First for better understanding of the subject, the definitions and equations of the canal surface around a regular curve in 3-dimensional Euclidean space are given. Section 3, concerned with some important definitions and theorems about focal curves in 3-dimensional Lorentz space. In section 4, we derive equations for canal and tubular surfaces around a spacelike focal curve in 3-dimensional Lorentz. Then we obtain the first and the second fundamental forms on the tubular surfaces in the same space. Gauss and mean curvatures of this surface are obtained. Finally, in this space it is investigated if the parameter curves for the tubular surface are geodesic or asymptotic and related theorems about them are stated and proved.

Anahtar Kelimeler

Canal surfaces,Tubular surfaces; Focal curvatures; Lorentz space

Kaynakça

[1] Doğan, F., Yaylı, Y. 2011. On the curvatures of tubular surface with Bishop frame. Commun. Fac. Sci. Univ. Ank. Series A1 Volume 60 (1) ( 2011 ), 59-69.
[2] Hacısalihoğlu, H. H. 2000. Differensiyel Geometri II. Hacısalihoğlu Yayınları, 45-46.
[3] Karacan, M. K., Bukcu, B. 2007. An alternative moving frame for tubular surfaces around spacelike curves with a spacelike Binormal in the Minkowski 3-space. Mathematica Moravica, Volume 11, 47-54.
[4] Kühnel, W. 2003. Differential Geometry Curves- Surfaces-Manifolds, Second ed. Friedr. Vieweg & Sohn Verlag, 380 p.
[5] Oprea, J. 1997. Differential Geometry and Its Applications. Prentice-Hall Inc, 78-80.
[6] Özdemir, M., Ergin, A. A. 2007. Spacelike Darboux curves in Minkowski 3-space. Differential Geometry-Dynamical Systems, vol. 9, 131-137.
[7] Petrovic, M., Sucurovic, E. 2000. Some characterizations of the spacelike, the timelike and the null curves on the pseudohyperbolic space H20 in E31. Kragujevac J.Math, vol 22, 71-82.
[8] Uribe-Vargas, R. 2005. On vertices focal curvatures and differential geometry of space curves. Bull. Brazilian Math. Soc. 36 (3), 285–307.

Ayrıntılar

Birincil Dil

Türkçe

Konular

-

Bölüm

-

Yazarlar

Abdullah Yıldırım

Yayımlanma Tarihi

15 Ağustos 2018

Gönderilme Tarihi

11 Ekim 2017

Kabul Tarihi

-

Yayımlandığı Sayı

Yıl 2018 Cilt: 22 Sayı: 2

IZ

https://izlik.org/JA53TA62NP

Kaynak Göster

RIS / Bibtex

APA

Yıldırım, A. (2018). Canal Surface Around A Spacelike Focal Curve In Lorentz 3-Space. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 22(2), 608-614. https://izlik.org/JA53TA62NP

AMA

1.Yıldırım A. Canal Surface Around A Spacelike Focal Curve In Lorentz 3-Space. Süleyman Demirel Üniv. Fen Bilim. Enst. Derg. 2018;22(2):608-614. https://izlik.org/JA53TA62NP

Chicago

Yıldırım, Abdullah. 2018. “Canal Surface Around A Spacelike Focal Curve In Lorentz 3-Space”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22 (2): 608-14. https://izlik.org/JA53TA62NP.

EndNote

Yıldırım A (01 Ağustos 2018) Canal Surface Around A Spacelike Focal Curve In Lorentz 3-Space. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22 2 608–614.

IEEE

[1]A. Yıldırım, “Canal Surface Around A Spacelike Focal Curve In Lorentz 3-Space”, Süleyman Demirel Üniv. Fen Bilim. Enst. Derg., c. 22, sy 2, ss. 608–614, Ağu. 2018, [çevrimiçi]. Erişim adresi: https://izlik.org/JA53TA62NP

ISNAD

Yıldırım, Abdullah. “Canal Surface Around A Spacelike Focal Curve In Lorentz 3-Space”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22/2 (01 Ağustos 2018): 608-614. https://izlik.org/JA53TA62NP.

JAMA

1.Yıldırım A. Canal Surface Around A Spacelike Focal Curve In Lorentz 3-Space. Süleyman Demirel Üniv. Fen Bilim. Enst. Derg. 2018;22:608–614.

MLA

Yıldırım, Abdullah. “Canal Surface Around A Spacelike Focal Curve In Lorentz 3-Space”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, c. 22, sy 2, Ağustos 2018, ss. 608-14, https://izlik.org/JA53TA62NP.

Vancouver

1.Abdullah Yıldırım. Canal Surface Around A Spacelike Focal Curve In Lorentz 3-Space. Süleyman Demirel Üniv. Fen Bilim. Enst. Derg. [Internet]. 01 Ağustos 2018;22(2):608-14. Erişim adresi: https://izlik.org/JA53TA62NP