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In this article, we study skew ruled surfaces by using the geodesic Frenet trihedron of its generator. We obtained some conditions on this surface to ensure that this ruled surface is flat, II-flat, minimal, II-minimal and Weingarten surface. Moreover, the parametric equations of asymptotic and geodesic lines on this ruled surface are determined and illustrated through example using the program of mathematica.
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참고문헌 (14)
참고문헌 신청
Abdel-All, N. H. / 2000 / Extension B-scroll surfaces in Lorentz 3-dimensional space / Rivista Di Math., Parma 6(3):57~67
Abdel-All, N. H. / 2000 / Timelike ruled surfaces immersed in Lorentz space / International conference Centennial Vranceanu Bucharest (Vranceanu proceedings March 2001)
Abdel-All, N. H. / 2004 / Ruled surfaces with timelike rullings / Appl. Math. comput 147:241~253
Abd-Ellah, H. N. / 2015 / Translation L/W-surfaces in Euclidean 3-space E3 / Journal of the Egyptian Mathematical Society 23:513~517
Ali, A. / 2013 / Ruled surfaces generated by some special curves in Euclidean 3-Space / Journal of the Egyptian Mathematical Society 21:285~294
Abdel-All, N. H. / 2000 / Timelike ruled surfaces immersed in Lorentz space / International conference Centennial Vranceanu Bucharest (Vranceanu proceedings March 2001)
Abdel-All, N. H. / 2004 / Ruled surfaces with timelike rullings / Appl. Math. comput 147:241~253
Abd-Ellah, H. N. / 2015 / Translation L/W-surfaces in Euclidean 3-space E3 / Journal of the Egyptian Mathematical Society 23:513~517
Ali, A. / 2013 / Ruled surfaces generated by some special curves in Euclidean 3-Space / Journal of the Egyptian Mathematical Society 21:285~294
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