2015
DOI: 10.12988/ams.2015.411961
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An application according to spatial quaternionic Smarandache curve

Abstract: In this paper, we found the Darboux vector of the spatial quaternionic curve according to the Frenet frame. Then, the curvature and torsion of the spatial quaternionic smarandache curve formed by the unit Darboux vector with the normal vector was calculated. Finally; these values are expressed depending upon the spatial quaternionic curve.

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Cited by 5 publications
(6 citation statements)
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References 4 publications
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“…If the unit vector of quaternionic darboux vector indicated by w w = sin ϕt + cos ϕn 2 , (2.13) [10]. A regular curve Minkowski space, whose position vector is composed by Frenet vectors on another regular curve, is called Smarandache curve [13].…”
Section: Preliminariesmentioning
confidence: 99%
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“…If the unit vector of quaternionic darboux vector indicated by w w = sin ϕt + cos ϕn 2 , (2.13) [10]. A regular curve Minkowski space, whose position vector is composed by Frenet vectors on another regular curve, is called Smarandache curve [13].…”
Section: Preliminariesmentioning
confidence: 99%
“…A regular curve Minkowski space, whose position vector is composed by Frenet vectors on another regular curve, is called Smarandache curve [13]. Special Smarandache curves have been studied by some authors [1,3,10,12,13]. Let γ = γ(s) spatial quaternionic curve and {t, n 1 , n 2 } be its moving FrenetSerret frame.…”
Section: Preliminariesmentioning
confidence: 99%
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“…Understanding the application according to Senyurt & Calıskan [8] is a program that people use to do things on a computer system. Mobile can be interpreted as an easy transfer from one place to another, for example a mobile telephone means that a telephone terminal can move easily from one place to another without the termination or interruption of communication [2].…”
Section: Introductionmentioning
confidence: 99%
“…Parlatıcı H., kuaterniyonik egrilerin Bishop çatısına göre Smarandache egrilerini incelemiştir, [2]. Son olarak,Şenyurt S. ve Çalışkan A.S., egriyi uzaysal kuaterniyonik bir egri alarak bu egrinin Smarandache egrilerinin egriligini ve burulmasını hesaplamışlardır, [3]. …”
Section: Introductionunclassified