<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</abstract>

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.

Legendre Matrix Method for Legendre Curve in Sasakian 3-Manifold

Foundations of Computing and Decision Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Legendre Matrix Method for Legendre Curve in Sasakian 3-Manifold"}

In this study, unit-speed the Legendre curves are studied in Sasakian 3-manifold. Firstly, differential equations characterizing the Legendre curves are...

Legendre Matrix Method for Legendre Curve in Sasakian 3-Manifold

Published Online: Sep 17, 2021

Page range: 205 - 219

Received: Apr 10, 2020

Accepted: Mar 01, 2021

DOI: https://doi.org/10.2478/fcds-2021-0014

Keywords
Legendre curves, Contact manifold, Legendre matrix method, Sasakian 3-Manifold

© 2021 Tuba Ağirman Aydin et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Legendre Matrix Method for Legendre Curve in Sasakian 3-Manifold

Published Online: Sep 17, 2021

Page range: 205 - 219

Received: Apr 10, 2020

Accepted: Mar 01, 2021

DOI: https://doi.org/10.2478/fcds-2021-0014

KeywordsLegendre curves, Contact manifold, Legendre matrix method, Sasakian 3-Manifold

© 2021 Tuba Ağirman Aydin et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Legendre curves, Contact manifold, Legendre matrix method, Sasakian 3-Manifold