Affiliation:
1. FIRAT ÜNİVERSİTESİ, FEN BİLİMLERİ ENSTİTÜSÜ
2. FIRAT ÜNİVERSİTESİ
Abstract
This study analyses (k,m)-type slant helices in compliance with the modified orthogonal frame in 3-dimensional Euclidean space ($\mathbb{E}^{3}$). Furthermore, we perform some characterisations of curves with modified orthogonal frames in $\mathbb{E}^{3}$.
Reference14 articles.
1. M. Barros, General Helices and a Theorem of Lancret, Proceedings of the American Mathematical Society 125 (5) (1997), 1503–1509.
2. D. J. Struik, Lectures on Classical Differential Geometry, Addison Wesley, 1988.
3. S. Izumiya, N. Takeuchi, New Special Curves and Developable Surfaces, Turkish Journal of Mathematics 28 (2) (2004), 153–164.
4. T. Y. Shaker, Evolution of Space Curves Using Type-3 Bishop Frame, Caspian Journal of Mathematical Sciences (CJMS) 8 (1) (2019), 58–73.
5. M. Bektaş, M. Y. Yılmaz, (k,m)-Type Slant Helices for Partially Null and Pseudo-Null Curves in Minkowski Space, Applied Mathematics and Nonlinear Sciences 5(1) (2020) 515–520.