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Some Special Smarandache-Ruled Surfaces According to quasi-Frame in Euclidean 3-Space E3 |
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PP: 685-699 |
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doi:10.18576/amis/180401
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Author(s) |
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Mervat Elzawy,
Amjad Aloufi,
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Abstract |
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| In our article we define special kinds of Smarandache ruled surfaces according to quasi frame called TqNqBq- Smarandache ruled surfaces. We investigated the first and second fundamental forms, the Gaussian curvature and Mean curvature of these surfaces. The necessary and sufficient conditions for such surfaces to be developable surfaces will be introduced. Also, the condition for such surfaces to be minimal surfaces is obtained. Finally the normal curvature, and geodesic curvature for these surfaces are investigated.
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