Research Article
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Year 2016, Volume: 4 Issue: 2, 1 - 13, 30.10.2016

Tanju Kahraman , Hasan Hüseyin Uğurlu

https://doi.org/10.36753/mathenot.421439

Abstract

References

  • [1] Ali, A. T., Special Smarandache Curves in the Euclidean Space, International Journal of Mathematical Combinatorics, Vol.2, pp.30-36, 2010.
  • [2] Blaschke, W., Differential Geometrie and Geometrischke Grundlagen ven Einsteins Relativitasttheorie Dover. New York. 1945
  • [3] Dimentberg F.M (1965) The Screw Calculus and its Applications in Mechanics. English translation: AD680993, Clearinghouse for Federal and Scientific Technical Information, (Izdat. Nauka, Moscow,USSR)
  • [4] Hacisalihoglu H.H (1983) Hareket Geometrisi ve Kuaterniyonlar Teorisi. Gazi Üniversitesi Fen-Edb Fakültesi
  • [5] Kahraman, T., Uğurlu, H. H., Dual Smarandache Curves and Smarandache Ruled Surfaces, Mathematical Sciences and Applications E-Notes.(Accepted)
  • [6] Kucuk A, Gursoy O (2004) On the invariants of Bertrand trajectory surface offsets. App Math and Comp 151:763-773.
  • [7] O’Neill B (1983) Semi-Riemannian Geometry with Applications to Relativity. Academic Press London
  • [8] Onder, M., Ugurlu, H.H., Dual Darboux Frame of a Spacelike Ruled Surface and Darboux Approach to Mannheim Offsets of Spacelike Ruled Surfaces, arXiv:1108.6076[math.DG]
  • [9] Turgut, M., Yilmaz, S., Smarandache Curves in Minkowski Space-time, Int. J. Math. Comb., 3 (2008) 51-55.
  • [10] Ugurlu H.H, Çaliskan A (1996) The Study Mapping for Directed Spacelike and Timelike Lines in Minkowski 3-Space R_1^3. Mathematical and Computational Applications 1(3.2):142-148
  • [11] Ugurlu H.H, Çaliskan A (2012) Darboux Ani Dönme Vektörleri ile Spacelike ve Timelike Yüzeyler Geometrisi. Celal Bayar Üniversitesi Yayınları Yayın No: 0006
  • [12] Veldkamp G.R (1976) On the use of dual numbers, vectors and matrices in instantaneous spatial kinematics. Mechanism and Mach Theory 11:141-156

Dual Smarandache Curves of a Timelike Curve lying on Unit dual Lorentzian Sphere

Year 2016, Volume: 4 Issue: 2, 1 - 13, 30.10.2016

Tanju Kahraman , Hasan Hüseyin Uğurlu

https://doi.org/10.36753/mathenot.421439

Abstract


Keywords

E. Study Mapping Smarandache curves Darboux approach Unit dual Lorentzian sphere

References

  • [1] Ali, A. T., Special Smarandache Curves in the Euclidean Space, International Journal of Mathematical Combinatorics, Vol.2, pp.30-36, 2010.
  • [2] Blaschke, W., Differential Geometrie and Geometrischke Grundlagen ven Einsteins Relativitasttheorie Dover. New York. 1945
  • [3] Dimentberg F.M (1965) The Screw Calculus and its Applications in Mechanics. English translation: AD680993, Clearinghouse for Federal and Scientific Technical Information, (Izdat. Nauka, Moscow,USSR)
  • [4] Hacisalihoglu H.H (1983) Hareket Geometrisi ve Kuaterniyonlar Teorisi. Gazi Üniversitesi Fen-Edb Fakültesi
  • [5] Kahraman, T., Uğurlu, H. H., Dual Smarandache Curves and Smarandache Ruled Surfaces, Mathematical Sciences and Applications E-Notes.(Accepted)
  • [6] Kucuk A, Gursoy O (2004) On the invariants of Bertrand trajectory surface offsets. App Math and Comp 151:763-773.
  • [7] O’Neill B (1983) Semi-Riemannian Geometry with Applications to Relativity. Academic Press London
  • [8] Onder, M., Ugurlu, H.H., Dual Darboux Frame of a Spacelike Ruled Surface and Darboux Approach to Mannheim Offsets of Spacelike Ruled Surfaces, arXiv:1108.6076[math.DG]
  • [9] Turgut, M., Yilmaz, S., Smarandache Curves in Minkowski Space-time, Int. J. Math. Comb., 3 (2008) 51-55.
  • [10] Ugurlu H.H, Çaliskan A (1996) The Study Mapping for Directed Spacelike and Timelike Lines in Minkowski 3-Space R_1^3. Mathematical and Computational Applications 1(3.2):142-148
  • [11] Ugurlu H.H, Çaliskan A (2012) Darboux Ani Dönme Vektörleri ile Spacelike ve Timelike Yüzeyler Geometrisi. Celal Bayar Üniversitesi Yayınları Yayın No: 0006
  • [12] Veldkamp G.R (1976) On the use of dual numbers, vectors and matrices in instantaneous spatial kinematics. Mechanism and Mach Theory 11:141-156
There are 12 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Tanju Kahraman

Hasan Hüseyin Uğurlu

Submission Date August 26, 2015
Publication Date October 30, 2016
Published in Issue Year 2016 Volume: 4 Issue: 2

Cite

APA Kahraman, T., & Uğurlu, H. H. (2016). Dual Smarandache Curves of a Timelike Curve lying on Unit dual Lorentzian Sphere. Mathematical Sciences and Applications E-Notes, 4(2), 1-13. https://doi.org/10.36753/mathenot.421439
AMA 1.Kahraman T, Uğurlu HH. Dual Smarandache Curves of a Timelike Curve lying on Unit dual Lorentzian Sphere. Math. Sci. Appl. E-Notes. 2016;4(2):1-13. doi:10.36753/mathenot.421439
Chicago Kahraman, Tanju, and Hasan Hüseyin Uğurlu. 2016. “Dual Smarandache Curves of a Timelike Curve Lying on Unit Dual Lorentzian Sphere”. Mathematical Sciences and Applications E-Notes 4 (2): 1-13. https://doi.org/10.36753/mathenot.421439.
EndNote Kahraman T, Uğurlu HH (October 1, 2016) Dual Smarandache Curves of a Timelike Curve lying on Unit dual Lorentzian Sphere. Mathematical Sciences and Applications E-Notes 4 2 1–13.
IEEE [1]T. Kahraman and H. H. Uğurlu, “Dual Smarandache Curves of a Timelike Curve lying on Unit dual Lorentzian Sphere”, Math. Sci. Appl. E-Notes, vol. 4, no. 2, pp. 1–13, Oct. 2016, doi: 10.36753/mathenot.421439.
ISNAD Kahraman, Tanju - Uğurlu, Hasan Hüseyin. “Dual Smarandache Curves of a Timelike Curve Lying on Unit Dual Lorentzian Sphere”. Mathematical Sciences and Applications E-Notes 4/2 (October 1, 2016): 1-13. https://doi.org/10.36753/mathenot.421439.
JAMA 1.Kahraman T, Uğurlu HH. Dual Smarandache Curves of a Timelike Curve lying on Unit dual Lorentzian Sphere. Math. Sci. Appl. E-Notes. 2016;4:1–13.
MLA Kahraman, Tanju, and Hasan Hüseyin Uğurlu. “Dual Smarandache Curves of a Timelike Curve Lying on Unit Dual Lorentzian Sphere”. Mathematical Sciences and Applications E-Notes, vol. 4, no. 2, Oct. 2016, pp. 1-13, doi:10.36753/mathenot.421439.
Vancouver 1.Kahraman T, Uğurlu HH. Dual Smarandache Curves of a Timelike Curve lying on Unit dual Lorentzian Sphere. Math. Sci. Appl. E-Notes [Internet]. 2016 Oct. 1;4(2):1-13. Available from: https://izlik.org/JA69DK39PH

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