Evolution of quaternionic curve in the semi‐Euclidean space E24

Evolution of quaternionic curve in the semi‐Euclidean space E24

In this paper, kinematics of semi‐real quaternionic curve in semi‐Euclidean space E24 is obtained in terms of its curvature functions. The evolution equation of Frenet frame and curvatures of quaternionic curve are obtained. Also, examples of evolution equations of curvatures are given.

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Veröffentlicht in:Mathematical methods in the applied sciences 2021-06, Vol.44 (9), p.7577-7587
Hauptverfasser: Kızılay, Alperen, Yıldız, Önder Gökmen, Okuyucu, Osman Zeki
Format: Artikel
Sprache:eng
Schlagworte:
Euclidean geometry
Euclidean space
Evolution
inextensible flow
Kinematics
semi‐Euclidean space
semi‐real quaternion
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Zusammenfassung:In this paper, kinematics of semi‐real quaternionic curve in semi‐Euclidean space E24 is obtained in terms of its curvature functions. The evolution equation of Frenet frame and curvatures of quaternionic curve are obtained. Also, examples of evolution equations of curvatures are given.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.6374