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math.GM2012★ 4 cited
Dual Smarandache Curves and Smarandache Ruled Surfaces
Tanju Kahraman, Mehmet Önder, H. Hüseyin Uğurlu
In this paper, by considering dual geodesic trihedron (dual Darboux frame) we define dual Smarandache curves lying fully on dual unit sphere S^2 and corresponding to ruled surfaces…
math.DG2012
Dual Darboux Frame of a Spacelike Ruled Surface and Darboux Approach to Mannheim Offsets of Spacelike Ruled Surfaces
Mehmet Önder, H. Hüseyin Uğurlu
In this paper, we define dual geodesic trihedron(dual Darboux frame) of a spacelike ruled surface. Then, we study Mannheim offsets of spacelike ruled surfaces in dual Lorentzian sp…