Article
On differential geometry of timelike Smarandache curves in Minkowski 3-space
Authors
Abstract
In this paper, we acquaint a special timelike Smarandache curves $Z$ reference to the Darboux frame of a timelike curve $\chi$ in Minkowski 3-space $R^3_1$. We derive the Frenet invariants of $Z$ and also give some geometric properties when the curve $\chi$ is a geodesic, an asymptotic and a principal curve. Finally, we give an example to illustrate these curves.
Keywords
Minkowski space-time, Smarandache curves, Darboux frame, geodesic curvature.
Citation
Al-Dayel, I. (2020). On differential geometry of timelike smarandache curves in minkowski 3-space. Numerical and Computational Methods in Sciences and Engineering, 2(2), 49–59. https://doi.org/10.18576/ncmse/020203
I. Al-Dayel, “On differential geometry of timelike smarandache curves in minkowski 3-space,” Numerical and Computational Methods in Sciences and Engineering, vol. 2, no. 2, pp. 49–59, 2020, doi: 10.18576/ncmse/020203.
Al-Dayel I. On differential geometry of timelike smarandache curves in minkowski 3-space. Numerical and Computational Methods in Sciences and Engineering. 2020;2(2):49–59. doi:10.18576/ncmse/020203.
Al-Dayel, I. (2020), ‘On differential geometry of timelike smarandache curves in minkowski 3-space’, Numerical and Computational Methods in Sciences and Engineering, 2(2), pp. 49–59. Available at: https://doi.org/10.18576/ncmse/020203.
Al-Dayel, Ibrahim. “On Differential Geometry of Timelike Smarandache Curves in Minkowski 3-space.” Numerical and Computational Methods in Sciences and Engineering, vol. 2, no. 2, 2020, pp. 49–59. https://doi.org/10.18576/ncmse/020203.
Al-Dayel, Ibrahim. “On Differential Geometry of Timelike Smarandache Curves in Minkowski 3-space.” Numerical and Computational Methods in Sciences and Engineering 2, no. 2 (2020): 49–59. https://doi.org/10.18576/ncmse/020203.
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Published by: Engineering Journals
