8 citations · 49 across the 24 of their papers we have counts for
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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…
Quaternionic Similar Curves in 4-dimensional Euclidean Space
Mehmet Önder
In this paper, we introduce the quaternionic similar curves in 4-dimensional Euclidean space. We show that the families of quaternionic curves with vanishing curvatures form the fa…
Quaternionic Salkowski Curves and Quaternionic Similar Curves
Mehmet Önder
In this paper, we give the definitions and characterizations of quaternionic Salkowski, quaternionic anti-Salkowski and quaternionic similar curves in the Euclidean spaces E^3 and…
Some Theorems on Timelike Ruled Surfaces
Mehmet Önder
In this study, we investigate the existence theorems for timelike ruled surfaces in Minkowski 3-space. We obtain a general system and give the existence theorems for a timelike rul…
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…