On the curvatures of the ruled surfaces of b-lift curves
Yıl: 2021 Cilt: 42 Sayı: 4 Sayfa Aralığı: 873 - 877 Metin Dili: İngilizce DOI: 10.17776/csj.910296 İndeks Tarihi: 11-08-2022
On the curvatures of the ruled surfaces of b-lift curves
Öz: In this study, we defined a new curve which is called the B-Lift curve, also obtained the Frenet vectors of the B-Lift curve. The ruled surfaces have been produced by taking base curves B Lift curves. Moreover, the tangent, normal, and binormal surfaces of the B-Lift curve are introduced. Besides, the Darboux frame of these ruled surfaces is created. The characterizations of these ruled surfaces are also given and the cases of base curves as the asymptotic curve, geodesic curve, principal line are examined. Finally, examples of these ruled surfaces are given and we illustrate them.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
- [1] Carmo M. Do., Differential Geometry of Curves and Surfaces, Prentice- Hall,Inc., Englewood Cliffs, New Jersey, (1976) 1-114.
- [2] Mert T., Atçeken M., Some Special Ruled Surfaces in Hyperbolic 3-Space, Konuralp Journal of Mathematics, 9 (2) (2021) 298-309.
- [3] Mert T., Atçeken M., Special Ruled Surfaces in de-Sitter 3-Space, Fundamental Journal of Mathematics and Applications 4 (3) (2021) 195- 209.
- [4] Mert T., Atçeken M., Spacelike Ruled Surfaces in de-Sitter 3-Space, Asian Journal of Mathematics and Computer Research, 27 (4) (2020) 37-53.
- [5] Karaca E., Çalışkan M., Ruled Surfaces and Tangent Bundle of Pseudo-Sphere of Natural Lift Curves, Journal of Science and Arts, 52 (3) (2020) 573-586.
- [6] Ergün E., Çalışkan M., Ruled Surface Pair Generated by a Curve and its Natural Lift in ℝ3 , Pure Mathematical Sciences, 1 (2) (2012) 75-80.
- [7] Thorpe J. A., Elementary Topics in Differential Geometry, Springer Verlag, New York, Heidelberg-Berlin, (1979) 61.
- [8] Izumiya S., Takeuchi N., Special Curves and Ruled Surfaces, Beitrage zur Algebra und Geometric Contributions to Algebra and Geometry, 44 (1) (2003) 203-212.
- [9] Lancret M. A., Memoire sur les courbes a double courbure, Memoires presentes a l’Institut, 1 (1) (1806) 416-454.
- [10] O’Neill B., Elementary Differential Geometry, Academic Press New York and London, (1966) 42-187.
- [11] Izumiya S., Otani S., Flat Approximations of Surfaces Along Curves, Demonstratio Mathematica, 48 (2) (2015) 217-241.
| APA | Altınkaya A, Çalışkan M (2021). On the curvatures of the ruled surfaces of b-lift curves. , 873 - 877. 10.17776/csj.910296 |
| Chicago | Altınkaya Anıl,Çalışkan Mustafa On the curvatures of the ruled surfaces of b-lift curves. (2021): 873 - 877. 10.17776/csj.910296 |
| MLA | Altınkaya Anıl,Çalışkan Mustafa On the curvatures of the ruled surfaces of b-lift curves. , 2021, ss.873 - 877. 10.17776/csj.910296 |
| AMA | Altınkaya A,Çalışkan M On the curvatures of the ruled surfaces of b-lift curves. . 2021; 873 - 877. 10.17776/csj.910296 |
| Vancouver | Altınkaya A,Çalışkan M On the curvatures of the ruled surfaces of b-lift curves. . 2021; 873 - 877. 10.17776/csj.910296 |
| IEEE | Altınkaya A,Çalışkan M "On the curvatures of the ruled surfaces of b-lift curves." , ss.873 - 877, 2021. 10.17776/csj.910296 |
| ISNAD | Altınkaya, Anıl - Çalışkan, Mustafa. "On the curvatures of the ruled surfaces of b-lift curves". (2021), 873-877. https://doi.org/10.17776/csj.910296 |
| APA | Altınkaya A, Çalışkan M (2021). On the curvatures of the ruled surfaces of b-lift curves. Cumhuriyet Science Journal, 42(4), 873 - 877. 10.17776/csj.910296 |
| Chicago | Altınkaya Anıl,Çalışkan Mustafa On the curvatures of the ruled surfaces of b-lift curves. Cumhuriyet Science Journal 42, no.4 (2021): 873 - 877. 10.17776/csj.910296 |
| MLA | Altınkaya Anıl,Çalışkan Mustafa On the curvatures of the ruled surfaces of b-lift curves. Cumhuriyet Science Journal, vol.42, no.4, 2021, ss.873 - 877. 10.17776/csj.910296 |
| AMA | Altınkaya A,Çalışkan M On the curvatures of the ruled surfaces of b-lift curves. Cumhuriyet Science Journal. 2021; 42(4): 873 - 877. 10.17776/csj.910296 |
| Vancouver | Altınkaya A,Çalışkan M On the curvatures of the ruled surfaces of b-lift curves. Cumhuriyet Science Journal. 2021; 42(4): 873 - 877. 10.17776/csj.910296 |
| IEEE | Altınkaya A,Çalışkan M "On the curvatures of the ruled surfaces of b-lift curves." Cumhuriyet Science Journal, 42, ss.873 - 877, 2021. 10.17776/csj.910296 |
| ISNAD | Altınkaya, Anıl - Çalışkan, Mustafa. "On the curvatures of the ruled surfaces of b-lift curves". Cumhuriyet Science Journal 42/4 (2021), 873-877. https://doi.org/10.17776/csj.910296 |
