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

Tanju Kahraman; Hasan Hüseyin Uğurlu

doi:10.36753/mathenot.421439

EN

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

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

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Tanju Kahraman

Hasan Hüseyin Uğurlu

Publication Date

October 30, 2016

Submission Date

August 26, 2015

Acceptance Date

-

Published in Issue

Year 2016 Volume: 4 Number: 2

DOI

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

IZ

https://izlik.org/JA69DK39PH

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.Tanju Kahraman, Hasan Hüseyin Uğurlu. Dual Smarandache Curves of a Timelike Curve lying on Unit dual Lorentzian Sphere. Math. Sci. Appl. E-Notes. 2016 Oct. 1;4(2):1-13. doi:10.36753/mathenot.421439