Darboux Slant Ruled Surfaces
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Abstract
In this study, we introduce Darboux slant ruled surface in the Euclidean 3-space E-3 which is defined by the property that the Darboux vector (W) over right arrow of orthonormal frame of a ruled surface satisfies the condition <(W) over right arrow, (u) over right arrow > = constant not equal 0 where (u) over right arrow is a fixed non-zero direction in the space. We obtain characterizations for Darboux slant ruled surfaces according to conical curvature kappa and give the relations between a Darboux slant ruled surface and other slant ruled surfaces.