DOI: https://doi.org/10.11568/kjm.2016.24.4.613
Studying on a skew ruled surface by using the geodesic Frenet trihedron of its generator
Abstract
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Subject classification
53A04, 53A05.Sponsor(s)
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Abdel-All, N. H. and Hamdoon, F. M., Extension B-scroll surfaces in Lorentz 3-dimensional space, Rivista Di Math., Parma 6(3) (2000), 57–67. (Google Scholar)
Abdel-All, N. H. and Hamdoon, F. M., Timelike ruled surfaces immersed in Lorentz space, International conference Centennial Vranceanu Bucharest, July (2000) (Vranceanu proceedings March 2001). (Google Scholar)
Abdel-All, N. H., Abdel-Baky, R. A. and Hamdoon, F. M., Ruled surfaces with timelike rullings, Appl. Math. comput., 147 (2004), 241–253. (Google Scholar)
Abd-Ellah, H. N., Translation L/W-surfaces in Euclidean 3-space E3, Journal of the Egyptian Mathematical Society, 23 (2015) 513–517. (Google Scholar)
Ali, A., Abdel Aziz, H. and Sorour, A., Ruled surfaces generated by some special curves in Euclidean 3-Space, Journal of the Egyptian Mathematical Society, 21 (2013), 285–294. (Google Scholar)
Carmo, M. P., Differential geometry of curves and surfaces, Prentice- Hall, Englewood Cliffs, NJ, (1976). (Google Scholar)
Dillen, F. and Sodsiri, W., Ruled surfaces of Weingarten type in Minkowski 3-space, J. Geom., 83 (2005) 10–21. (Google Scholar)
Kim, Y. H. and Yoon, D. W., On Non-Developable Ruled Surfaces in Lorentz-Minkoweski 3- Space, Taiwanese Journal of mathematics, 1(11) (2007), 197–214. (Google Scholar)
Kim, Y. H. and Yoon, D. W., Classification of ruled surfaces in Minkowski 3-space, J. Geometry Phys., 49 (2004) 89–100. (Google Scholar)
O’Neill, B., Elementary Differential geometry, Academic Press ,(1966). (Google Scholar)
Onder, M and Huseyin, H., Some Results and Characterizations for Mannheim Offsets of Ruled Surfaces, Bol. Soc. Paran. Mat., 34 (2015), 85–95. (Google Scholar)
Orbay, K. and Kasap, E., Mannheim offsets of ruled surfaces, Mathematical proplems in engineering, (2009). (Google Scholar)
Ravani, B. and Ku, T., Bertrand offsets of ruled and developable surfaces, Computer-Aided Design, 2(23) (1991), 145–152. (Google Scholar)
Weatherburn, C. E., Differential Geometry of Three Dimensions, Cambridge, UK, (1930). (Google Scholar)
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