The Smarandache Curves on S12 and Its Duality on H02

Atakan Tuğkan Yakut; Murat Savaş; Tuğba Tamirci

doi:10.1155/2014/193586

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Home > Journals > J. Appl. Math. > Volume 2014 > Article

2014 The Smarandache Curves on

{S}_{1}^{2}

and Its Duality on

{H}_{0}^{2}

Atakan Tuğkan Yakut, Murat Savaş, Tuğba Tamirci

J. Appl. Math. 2014: 1-12 (2014). DOI: 10.1155/2014/193586

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Abstract

We 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.

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Atakan Tuğkan Yakut. Murat Savaş. Tuğba Tamirci. "The Smarandache Curves on ${S}_{1}^{2}$ and Its Duality on ${H}_{0}^{2}$ ." J. Appl. Math. 2014 1 - 12, 2014. https://doi.org/10.1155/2014/193586