EN
Timelike V-Bertrand Curves in Minkowski 3-Space $E_{1}^{3}$
Abstract
In this paper, the timelike V-Bertrand curve, a new type Bertrand curve in Minkowski 3-Space $E_{1}^{3}$, is characterized. Based on the timelike V-Bertrand curve, the properties of the timelike T, N, and B Bertrand curves are obtained. From the timelike V-Bertrand curve, f-Bertrand curves and Bertrand surfaces are defined. We support the existence of these new curves and surfaces with examples. Finally, we discuss the results for further research.
Keywords
Supporting Institution
Office of Scientific Research Projects Coordination at Çanakkale Onsekiz Mart University
Project Number
FYL-2019-2927
Thanks
This work was supported by the Office of Scientific Research Projects Coordination at Çanakkale Onsekiz Mart University, Grant number: FYL-2019-2927.
References
- J. Bertrand, Memoire Sur La Theorie Des Courbes a Double Courbure, Journal de Mathématiques Pures et Appliquées 15 (1850) 332–350.
- J. A. Serret, Sur Quelquees Formules Relatives À La Thérie De Courbes À Double Courbure, Journal de Mathématiques Pures et Appliquées 16 (1851) 193-207.
- D. J. Struik, Lectures on Classical Differential Geometry, Dover Publications, 2nd Edition, 1950.
- S. Izumiya, N. Tkeuchi, Generic Properties of Helices and Bertrand Curves, Journal of Geometry 74 (1-2) (2002) 97–109.
- Ç. Camcı, A. Uçum, K. İlarslan, A New Approach to Bertrand Curves in Euclidean 3-space, Journal of Geometry 111 (3) (2020) 1–15.
- K. İlarslan, A. Uçum, N. Kılıç Aslan, E. Nešović, Note On Bertrand B-Pairs of Curves in Minkowski 3-Space, Honam Mathematical Journal 40 (3) (2018) 561–576.
- A. Uçum, O. Keçilioğlu, K. İlarslan, Generalized Bertrand Curves with Timelike (1,3)-normal Plane in Minkowski Space-time, Kuwait Journal of Science 42 (3) (2015) 10–27.
- H. Matsuda, S. Yorozu, Notes on Bertrand Curves, Yokohama Mathematical Journal 50 (2003) 41–58.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
March 31, 2022
Submission Date
December 30, 2021
Acceptance Date
March 22, 2022
Published in Issue
Year 2022 Number: 38
APA
Bilgin, B., & Camcı, Ç. (2022). Timelike V-Bertrand Curves in Minkowski 3-Space $E_{1}^{3}$. Journal of New Theory, 38, 14-24. https://doi.org/10.53570/jnt.1051013
AMA
1.Bilgin B, Camcı Ç. Timelike V-Bertrand Curves in Minkowski 3-Space $E_{1}^{3}$. JNT. 2022;(38):14-24. doi:10.53570/jnt.1051013
Chicago
Bilgin, Burhan, and Çetin Camcı. 2022. “Timelike V-Bertrand Curves in Minkowski 3-Space $E_{1}^{3}$”. Journal of New Theory, nos. 38: 14-24. https://doi.org/10.53570/jnt.1051013.
EndNote
Bilgin B, Camcı Ç (March 1, 2022) Timelike V-Bertrand Curves in Minkowski 3-Space $E_{1}^{3}$. Journal of New Theory 38 14–24.
IEEE
[1]B. Bilgin and Ç. Camcı, “Timelike V-Bertrand Curves in Minkowski 3-Space $E_{1}^{3}$”, JNT, no. 38, pp. 14–24, Mar. 2022, doi: 10.53570/jnt.1051013.
ISNAD
Bilgin, Burhan - Camcı, Çetin. “Timelike V-Bertrand Curves in Minkowski 3-Space $E_{1}^{3}$”. Journal of New Theory. 38 (March 1, 2022): 14-24. https://doi.org/10.53570/jnt.1051013.
JAMA
1.Bilgin B, Camcı Ç. Timelike V-Bertrand Curves in Minkowski 3-Space $E_{1}^{3}$. JNT. 2022;:14–24.
MLA
Bilgin, Burhan, and Çetin Camcı. “Timelike V-Bertrand Curves in Minkowski 3-Space $E_{1}^{3}$”. Journal of New Theory, no. 38, Mar. 2022, pp. 14-24, doi:10.53570/jnt.1051013.
Vancouver
1.Burhan Bilgin, Çetin Camcı. Timelike V-Bertrand Curves in Minkowski 3-Space $E_{1}^{3}$. JNT. 2022 Mar. 1;(38):14-2. doi:10.53570/jnt.1051013