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

Tanju Kahraman; Hasan Hüseyin Uğurlu

doi:10.36753/mathenot.421439

Research Article

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	Articles
Authors	Tanju Kahraman Hasan Hüseyin Uğurlu
Publication Date	October 30, 2016
Submission Date	August 26, 2015
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	Kahraman T, Uğurlu HH. Dual Smarandache Curves of a Timelike Curve lying on Unit dual Lorentzian Sphere. Math. Sci. Appl. E-Notes. October 2016;4(2):1-13. doi:10.36753/mathenot.421439
Chicago	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 4, no. 2 (October 2016): 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	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, 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 2016), 1-13. https://doi.org/10.36753/mathenot.421439.
JAMA	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, 2016, pp. 1-13, doi:10.36753/mathenot.421439.
Vancouver	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.