Smarandache Curves of a Spacelike Curve lying on Unit dual Lo-rentzian Sphere

Cilt: 11 Sayı: 2 19 Aralık 2015
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Smarandache Curves of a Spacelike Curve lying on Unit dual Lo-rentzian Sphere

Öz

Smarandache Curves of a Spacelike Curve lying on Unit dual Lorentzian Sphere 

In this paper, we give Darboux approximation for dual Smarandache curves of spacelike curve on unit dual Lorentzian sphere . Firstly, we define the types of dual Smarandache curves of a spacelike curve  lying on dual Lorentzian sphere . Then, we obtain the relationships between the dual curvatures of spacelike curve  and its dual Smarandache curves. Finally, we give an example for Smarandache curves of a spacelike curve on unit dual Lorentzian sphere .


Anahtar Kelimeler

Kaynakça

  1. Ali, A. T., Special Smarandache Curves in the Euclidean Space, International Journal of Mathematical Combinatorics. 2010; 2, 30-36.
  2. Blaschke W. Differential Geometrie and Geometrischke Grundlagen ven Einsteins Relativitasttheorie Dover., New York, 1945.
  3. Dimentberg F.M., The Screw Calculus and its Applications in Mechanics. English translation: AD680993, Clearinghouse for Federal and Scientific Technical Information, Izdat. Nauka, Moscow, USSR, 1965.
  4. Hacısalihoğlu H.H. Hareket Geometrisi ve Kuaterniyonlar Teorisi. Gazi Üniversitesi Fen-Edb Fakültesi, 1983.
  5. Kahraman, T., Uğurlu, H. H., Dual Smarandache Curves and Smarandache Ruled Surfaces, Mathematical Sciences and Applications E-Notes. 2014; 2(1), 83-98.
  6. Küçük A., Gürsoy O., On the invariants of Bertrand trajectory surface offsets. App Math and Comp. 2004; 151, 763-773.
  7. O’Neill B, Semi-Riemannian Geometry with Applications to Relativity. Academic Press London, 1983.
  8. Önder, M., Uğurlu, H.H., Dual Darboux Frame of a Time like Ruled Surface and Darboux Approach to Mannheim Offsets of Timelike Ruled Surfaces, Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 2013; 83(2), 163–169.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

-

Yayımlanma Tarihi

19 Aralık 2015

Gönderilme Tarihi

23 Aralık 2015

Kabul Tarihi

-

Yayımlandığı Sayı

Yıl 2015 Cilt: 11 Sayı: 2

Kaynak Göster

APA
Kahraman, T., & Uğurlu, H. (2015). Smarandache Curves of a Spacelike Curve lying on Unit dual Lo-rentzian Sphere. Celal Bayar University Journal of Science, 11(2). https://doi.org/10.18466/cbujos.11586
AMA
1.Kahraman T, Uğurlu H. Smarandache Curves of a Spacelike Curve lying on Unit dual Lo-rentzian Sphere. Celal Bayar University Journal of Science. 2015;11(2). doi:10.18466/cbujos.11586
Chicago
Kahraman, Tanju, ve Hasan Uğurlu. 2015. “Smarandache Curves of a Spacelike Curve lying on Unit dual Lo-rentzian Sphere”. Celal Bayar University Journal of Science 11 (2). https://doi.org/10.18466/cbujos.11586.
EndNote
Kahraman T, Uğurlu H (01 Aralık 2015) Smarandache Curves of a Spacelike Curve lying on Unit dual Lo-rentzian Sphere. Celal Bayar University Journal of Science 11 2
IEEE
[1]T. Kahraman ve H. Uğurlu, “Smarandache Curves of a Spacelike Curve lying on Unit dual Lo-rentzian Sphere”, Celal Bayar University Journal of Science, c. 11, sy 2, Ara. 2015, doi: 10.18466/cbujos.11586.
ISNAD
Kahraman, Tanju - Uğurlu, Hasan. “Smarandache Curves of a Spacelike Curve lying on Unit dual Lo-rentzian Sphere”. Celal Bayar University Journal of Science 11/2 (01 Aralık 2015). https://doi.org/10.18466/cbujos.11586.
JAMA
1.Kahraman T, Uğurlu H. Smarandache Curves of a Spacelike Curve lying on Unit dual Lo-rentzian Sphere. Celal Bayar University Journal of Science. 2015;11. doi:10.18466/cbujos.11586.
MLA
Kahraman, Tanju, ve Hasan Uğurlu. “Smarandache Curves of a Spacelike Curve lying on Unit dual Lo-rentzian Sphere”. Celal Bayar University Journal of Science, c. 11, sy 2, Aralık 2015, doi:10.18466/cbujos.11586.
Vancouver
1.Tanju Kahraman, Hasan Uğurlu. Smarandache Curves of a Spacelike Curve lying on Unit dual Lo-rentzian Sphere. Celal Bayar University Journal of Science. 01 Aralık 2015;11(2). doi:10.18466/cbujos.11586

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