Legendre Matrix Method for Legendre Curve in Sasakian 3-Manifold
2021
scientific article
english
- Legendre curves
- Contact manifold
- Legendre matrix method
- Sasakian 3-Manifold
EN In this study, unit-speed the Legendre curves are studied in Sasakian 3-manifold. Firstly, differential equations characterizing the Legendre curves are obtained and the method used for the approximate solution is explained. Then, the approximate solution is found for one of the characterizations of the Legendre curve with the Legendre matrix collocation method. In addition, a sample application is made to make the method more understandable. And finally, with the help of these equations and the approximate solution, the geometric properties of this curve type are examined.
17.09.2021
205 - 219
CC BY-NC-ND (attribution - noncommercial - no derivatives)
open journal
final published version
at the time of publication
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