<abstract xmlns="http://www.w3.org/1999/xhtml">
<p>This study is based on the discovered relationships between the quaternionic slant helix and the quaternionic general helix. In this direction, we first examined quaternions, spatial quaternionic curves and b-lift curves. Furthermore, we defined the spatial quaternionic b-lift curve and characterized of Frenet fields. Afterward, we found the curvatures of the b-lift curve and using them we obtained a result between the quaternionic slant helix and quaternionic general helix. Finally, we consolidated our results with an example and visualized our curves with the MATLAB program.</p>
</abstract>

This study is based on the discovered relationships between the quaternionic slant helix and the quaternionic general helix. In this direction, we first examined quaternions, spatial quaternionic curves and b-lift curves. Furthermore, we defined the spatial quaternionic b-lift curve and characterized of Frenet fields. Afterward, we found the curvatures of the b-lift curve and using them we obtained a result between the quaternionic slant helix and quaternionic general helix. Finally, we consolidated our results with an example and visualized our curves with the MATLAB program.

On Spatial Quaternionic b-lift Curves

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

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

{"article-title":"On Spatial Quaternionic b-lift Curves"}

This study is based on the discovered relationships between the quaternionic slant helix and the quaternionic general helix. In this direction, we first...

On Spatial Quaternionic b-lift Curves

Published Online: Oct 21, 2023

Page range: 5 - 14

Received: Sep 02, 2022

Accepted: Dec 22, 2022

DOI: https://doi.org/10.2478/auom-2023-0028

Keywords
Quaternions, quaternionic curves, spatial quaternionic curves, b-lift curves

© 2023 Anıl Altınkaya et al., published by Sciendo

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

On Spatial Quaternionic b-lift Curves

Published Online: Oct 21, 2023

Page range: 5 - 14

Received: Sep 02, 2022

Accepted: Dec 22, 2022

DOI: https://doi.org/10.2478/auom-2023-0028

KeywordsQuaternions, quaternionic curves, spatial quaternionic curves, b-lift curves

© 2023 Anıl Altınkaya et al., published by Sciendo

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

Keywords
Quaternions, quaternionic curves, spatial quaternionic curves, b-lift curves