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