Affiliation:
1. Harran Üniversitesi Fen Edebiyat Fakültesi Matematik Bölümü
Abstract
A spine curve moves through the middle of a canal or a tubular surface. It might be asked whether it is possible to carry a spine curve over a tubular surface. For a tubular surface, we have seen that it can be done. In this study, we have given the general equations of a canal surface and a tubular surface according to a focal curve. In this case, we found the fundamental curvatures of a tubular surface. We gave theorems and proofs about the focal curve being a special curve.
Publisher
Turkish Journal of Mathematics and Computer Science, Association of Mathematicians
Reference12 articles.
1. Alegre, P., Arslan, K., Carriazo, A., Murathan, C., Öztürk, G., Some special types of developable rued surface, Hacettepe Journal of Mathematics and Statistics, 39(3)(2010), 319–325.
2. Doğan, F., Yaylı, Y., On the curvatures of the tubular surface with Bishop , Commun. Fac. Sci. Univ. Ank. Series A1, 60(1)(2011), 59–69.
3. Öztürk, G., Arslan, K., On focal curves in Euclidean n-space Rn, Novi Sad J. Math, 46(1)(2016), 35-44.
4. Hacısalihoğlu, H.H., Differensiyel Geometri Cilt II, Hacısalihoğlu Yayınları, Ankara, 2000.
5. Karacan, M.K., Bukcu, B., An alternative moving frame for tubular surfaces around spacelike curves with a spacelike Binormal in the Minkowski 3-space, Mathematica Moravica, 12(2)(2007), 47–54.