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Mathematical Methods in the Applied Sciences
Article . 2020 . Peer-reviewed
License: Wiley Online Library User Agreement
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Evolution of quaternionic curve in the semi‐Euclidean space E24

Authors: Alperen Kızılay; Önder Gökmen Yıldız; Osman Zeki Okuyucu;

Evolution of quaternionic curve in the semi‐Euclidean space E24

Abstract

In this paper, kinematics of semi‐real quaternionic curve in semi‐Euclidean space 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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Turkey
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Keywords

evolution, semi-real quaternion, semi-Euclidean space, inextensible flow

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Top 10%
Average
Average
Green