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2014 The Smarandache Curves on S12 and Its Duality on H02
Atakan Tuğkan Yakut, Murat Savaş, Tuğba Tamirci
J. Appl. Math. 2014: 1-12 (2014). DOI: 10.1155/2014/193586

Abstract

We introduce special Smarandache curves based on Sabban frame on S12 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 S12 and Its Duality on H02." J. Appl. Math. 2014 1 - 12, 2014. https://doi.org/10.1155/2014/193586

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Published: 2014
First available in Project Euclid: 2 March 2015

Digital Object Identifier: 10.1155/2014/193586

Rights: Copyright © 2014 Hindawi

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