Darboux slant ruled surfaces
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Date
2015
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Abstract
In this study, we introduce Darboux slant ruled surface in the Euclidean 3-space E3which is defined by the property that the Darboux vector W of orthonormal frame of a ruled surface satisfies the condition 〈W, u〉 = constant ≠ 0 where u is a fixed non-zero direction in the space. We obtain characterizations for Darboux slant ruled surfaces according to conical curvature κ and give the relations between a Darboux slant ruled surface and other slant ruled surfaces. © 2010 AZJM All rights reserved.