Studying on a skew ruled surface by using the geodesic Frenet trihedron of its generator
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.
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).
Abdel-All, N. H., Abdel-Baky, R. A. and Hamdoon, F. M., Ruled surfaces with timelike rullings, Appl. Math. comput., 147 (2004), 241–253.
Abd-Ellah, H. N., Translation L/W-surfaces in Euclidean 3-space E3, Journal of the Egyptian Mathematical Society, 23 (2015) 513–517.
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.
Carmo, M. P., Differential geometry of curves and surfaces, Prentice- Hall, Englewood Cliffs, NJ, (1976).
Dillen, F. and Sodsiri, W., Ruled surfaces of Weingarten type in Minkowski 3-space, J. Geom., 83 (2005) 10–21.
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.
Kim, Y. H. and Yoon, D. W., Classification of ruled surfaces in Minkowski 3-space, J. Geometry Phys., 49 (2004) 89–100.
O’Neill, B., Elementary Differential geometry, Academic Press ,(1966).
Onder, M and Huseyin, H., Some Results and Characterizations for Mannheim Offsets of Ruled Surfaces, Bol. Soc. Paran. Mat., 34 (2015), 85–95.
Orbay, K. and Kasap, E., Mannheim offsets of ruled surfaces, Mathematical proplems in engineering, (2009).
Ravani, B. and Ku, T., Bertrand offsets of ruled and developable surfaces, Computer-Aided Design, 2(23) (1991), 145–152.
Weatherburn, C. E., Differential Geometry of Three Dimensions, Cambridge, UK, (1930).
- There are currently no refbacks.
ISSN: 1976-8605 (Print), 2288-1433 (Online)
Copyright(c) 2013 By The Kangwon-Kyungki Mathematical Society, Department of Mathematics, Kangwon National University Chuncheon 21341, Korea Fax: +82-33-259-5662 E-mail: email@example.com