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Original Articles
A Study on Ruled Surface in Euclidean 3-Space
Yilmaz Tunçeryilmaz.tuncer@usak.edu.trUşak University, Science and Art Faculty, Math. DeptCampus-Usak-Turkey, TurkeyView full profile → , Nejat EkmekciUşak University, Science and Art Faculty, Math. DeptCampus-Usak-TurkeyView full profile →
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- Published Online:
- 03 Jun 2013
- Article type:
- Original Articles
- Language:
- EN
- Article no.:
- 1726037X.2010.10698577
- Pages:
- 49–57
Abstract
In this study, we examined the ruled surfaces in Euclidean 3-space with different way. We obtained some characterizations on the ruled surfaces by using its rulings, curvatures of the base curve, shape operator and Gauss curvature.
Keywords
References
Hacısalihoğlu, H.H.1993 . Diferensiyel Geometri, Cilt. 2, Ankara: Ankara Üniversitesi Fen Fakültesi . Izumiya, S. and Takeuchi, N.2003 . Special Curves and Ruled Surfaces . Beitrage zur Algebra und Geometrie, 44 ( 1 ) : 203 – 212 . Kasap, E.2005 . A Method of The Determination of a Geodesic Curve on Ruled Surface with Time-like Rulings . Novi Sad J. Math, 35 ( 2 ) : 103 – 110 . Nomizu, K.1978 . Kinematics and Differential Geometry of Submanifolds . Tohoku Math. Jour., 30 : 623 – 637 . O’Neill, B.1983 . Semi-Riemannian Geometry with Applications to Relativity, New York: Academic Press . Tunçer, Y., Yayli, Y. and Sağel, M.K.2008 . On Differential Geometry and Kinematics of Euclidean Submanifolds . Balkan Journal of Geometry and Its Applications, 13 ( 2 ) : 102 – 111 .
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