Blaschke approach to dual Smarandache curves
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Date
2013
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Abstract
In this paper, we give the definition of dual Smarandache curves on dual unit sphere ~S2 according to Blaschke frame. We obtain the relationships between Blaschke frames, invariants and elements of curvature of a dual curve α̃ and its dual Smarandache b̃ij-curves (1 ≤ i, j ≤ 3). Furthermore, we show that a dual curve α̃ and its dual Smarandache b̃13-curve forms a Bertrand offset. © 2013 Institute of Advanced Scientific Research.