On the tubular surfaces in E^3

Year 2017, Volume: 5 Issue: 1, 40 - 50, 01.01.2017

Ali Cakmak , Omer Tarakci

Abstract

Keywords

Surfaces at a constant distance from the edge of regression on a surface, Tubular surfaces, Geodesic curve, Asymptotic curve

References

• Ö. Tarakcı, Surfaces at a Constant Distance From The Edge of Regression on a Surface, PhD thesis, Ankara University Institute of Science, (2002), 101pp.
• Ö. Tarakcı and H.H. Hacısalihoğlu, Surfaces at a Constant Distance From The Edge of Regression on a Surface, Applied Mathematics and Computation, 155, (2004), 81-93.
• N. Aktan, A. Görgülü, E. Özüsağlam and C. Ekici, Conjugate Tangent Vectors and Asymptotic Directions for Surfaces at a Constant Distance From Edge of Regression on a Surface, IJPAM, 33, No. 1, (2006), 127-133.
• N. Aktan, E. Özüsağlam and A. Görgülü, The Euler Theorem and Dupin Indicatrix for Surfaces at a Constant Distance From Edge of Regression on a Surface, International Journal of Applied Mathematics&Statistics, 14, No.S09, (2009), 37-43.
• D. Sağlam and Ö. Boyacıoğlu Kalkan, Surfaces at a Constant Distance From The Edge of Regression on a Surface in E_1^3, Differential Geometry-Dynamical Systems, 12, (2010), 187-200.
• D. Sağlam and Ö. Boyacıoğlu Kalkan, The Euler Theorem and Dupin Indicatrix for Surfaces at a Constant Distance From The Edge of Regression on a Surface in E_1^3, Matematicki Vesnik, 65, No.2, (2013), 242-249.
• D. Sağlam and Ö. Boyacıoğlu Kalkan, Conjugate Tangent Vectors and Asymptotic Directions for Surfaces at a Constant Distance From Edge of Regression on a Surface in E_1^3, Konuralp Journal of Mathematics, 2, No. 1, (2014), 24-35.
• S. Yurttançıkmaz and Ö. Tarakcı, The Relationship Between Focal Surfaces and Surfaces at a Constant Distance From The Edge of Regression On a Surface, Advances in Mathematical Physics, (2014), Article ID 397126.
• A. Çakmak and Ö. Tarakcı, The Image Curves on Surfaces at a Constant Distance from the Edge of Regression on a Surface of Revolution, International Journal of Mathematics and Computation, Vol. 27; No.1, (2016), 74-85.
• A. Çakmak and Ö. Tarakcı, Surface at a Constant Distance from the Edge of Regression on a Surface of Rotation in E^3, Applied Mathematical Sciences, Vol 10, no. 15, (2016), 707-719.
• H. Çayır, Some Notes on Lifts of Almost Paracontact Structures, American Review of Mathematics and Statistics, 3 (1), (2015), 52-60.
• H. Çayır and K. Akdağ, Some notes on almost paracomplex structures associated with the diagonal lifts and operators on cotangent bundle, New Trends in Mathematical Sciences, 4 (4), (2016), 42-50.
• A.A. Salimov and H. Çayır, Some Notes On Almost Paracontact Structures, Comptes Rendus de 1’Acedemie Bulgare Des Sciences, 66 (3), (2013), 331-338.
• M.K. Karacan and Y. Yaylı, On the Geodesics of Tubular Surfaces in Minkowski 3-Space, Bulletin of the Malaysian Mathematical Sciences Society, (2), 31(1), (2008), 1–10.
• M. Dede, Tube surfaces in pseudo-Galilean space, International Journal of Geometric Methods in Modern Physics Vol. 13, No. 05,(2016), 1650056.
• S. Kızıltuğ and Y. Yaylı, Timelike tubes with Darboux frame in Minkowski 3-space International Journal of Physical Sciences, Vol. 8(1), (2013), pp. 31-36.
• M. K. Karacan and Y. Tuncer, Tubular surfaces of Weingarten types in Galilean and pseudo-Galilean, Bull. Math. Anal. Appl. 5, (2013), 87-100.
• A. Gray, Modern Differential Geometry of Curves and Surfaces with Mathematica, 2nd ed. Boca Raton, FL: CRC Press, (1997), pp. 207-209.