Published July 27, 2014 | Version v1
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On Pseudospherical Smarandache Curves in Minkowski 3-Space

Description

In this paper we define nonnull and null pseudospherical Smarandache curves according to the Sabban frame of a spacelike curveĀ lying on pseudosphere inMinkowski 3-space.We obtain the geodesic curvature and the expressions for the Sabban frame’s vectorsĀ of spacelike and timelike pseudospherical Smarandache curves.We also prove that if the pseudospherical null straight lines are theĀ Smarandache curves of a spacelike pseudospherical curve š›¼, thenš›¼ has constant geodesic curvature. Finally, we give some examples
of pseudospherical Smarandache curves.

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