Dual Smarandache Curves of a Curve Lying on Dual Unit Hyperbolic Sphere


Authors

Tanju Kahraman - Celal Bayar University, Department of Mathematics, Faculty of Arts and Sciences, Manisa, Turkey. Mehmet Onder - Celal Bayar University, Department of Mathematics, Faculty of Arts and Sciences, Manisa, Turkey. H. Huseyin Ugurlu - Gazi University, Gazi Faculty of Education, Department of Secondary Education Science and Mathematics Teaching, Mathematics Teaching Program, Ankara, Turkey.


Abstract

In this paper, we give Darboux approximation for dual Smarandache curves of spacelike curve on dual unit hyperbolic sphere \(\tilde{H}^2_0\). Firstly, we define the four types of dual Smarandache curves of a dual hyperbolic curve \(\tilde{\alpha}(s)\). Then, we obtain the relationships between the dual curvatures of dual hyperbolic curve \(\tilde{\alpha}(s)\) and its dual Smarandache curves. Finally, we give an example for Smarandache curves of a spacelike curve on dual unit hyperbolic sphere \(\tilde{H}^2_0\).


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ISRP Style

Tanju Kahraman, Mehmet Onder, H. Huseyin Ugurlu, Dual Smarandache Curves of a Curve Lying on Dual Unit Hyperbolic Sphere, Journal of Mathematics and Computer Science, 14 (2015), no. 4, 326-344

AMA Style

Kahraman Tanju, Onder Mehmet, Ugurlu H. Huseyin, Dual Smarandache Curves of a Curve Lying on Dual Unit Hyperbolic Sphere. J Math Comput SCI-JM. (2015); 14(4):326-344

Chicago/Turabian Style

Kahraman, Tanju, Onder, Mehmet, Ugurlu, H. Huseyin. "Dual Smarandache Curves of a Curve Lying on Dual Unit Hyperbolic Sphere." Journal of Mathematics and Computer Science, 14, no. 4 (2015): 326-344


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