Evolution of quaternionic curve in the semi‐Euclidean space     E    2    4 | Zendy

Kızılay Alperen | Zendy; Yıldız Önder Gökmen | Zendy; Okuyucu Osman Zeki | Zendy

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Evolution of quaternionic curve in the semi‐Euclidean space E 2 4

Author(s) -

Kızılay Alperen,

Yıldız Önder Gökmen,

Okuyucu Osman Zeki

Publication year - 2021

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.6374

Subject(s) - mathematics , frenet–serret formulas , mathematical analysis , euclidean space , space (punctuation) , curvature , euclidean geometry , frame (networking) , kinematics , moving frame , pure mathematics , geometry , classical mechanics , linguistics , philosophy , telecommunications , physics , computer science

In this paper, kinematics of semi‐real quaternionic curve in semi‐Euclidean spaceE 2 4is 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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