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Öğe The Smarandache Curves on H-0(2)(GAZI UNIV, 2016) Savas, Murat; Yakut, Atakan Tugkan; Tamirci, TugbaIn this study, we give special Smarandache curves according to the Sabban frame in hyperbolic space and new Smarandache partners in de Sitter space. The existence of duality between Smarandache curves in hyperbolic and de Sitter space is obtained. We also describe how we can depict picture of Smarandache partners in de Sitter space of a curve in hyperbolic space. Finally, two examples are given to illustrate our main results.Öğe The smarandache curves on H0 2(Gazi Universitesi, 2016) Savas, Murat; Yakut, Atakan Tugkan; Tamirci, TugbaIn this study, we give special Smarandache curves according to the Sabban frame in hyperbolic space and new Smarandache partners in de Sitter space. The existence of duality between Smarandache curves in hyperbolic and de Sitter space is obtained. We also describe how we can depict picture of Smarandache partners in de Sitter space of a curve in hyperbolic space. Finally, two examples are given to illustrate our main results. © 2016 Gazi University Eti Mahallesi. All rights reserved.Öğe The Smarandache Curves on S-1(2) and Its Duality on H-0(2)(HINDAWI LTD, 2014) Yakut, Atakan Tugkan; Savas, Murat; Tamirci, TugbaWe introduce special Smarandache curves based on Sabban frame on S-1(2) and we investigate geodesic curvatures of Smarandache curves on de Sitter and hyperbolic spaces. The existence of duality between Smarandache curves on de Sitter space and Smarandache curves on hyperbolic space is shown. Furthermore, we give examples of our main results.