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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.