A new approach on curves of constant precession

Uzunoglu, Beyhan; Gök, Ísmaíl; Yaylı, Yusuf

doi:10.1016/j.amc.2015.11.083

Cited by 59 publications

(47 citation statements)

References 5 publications

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“…the differentiable functions, [Uzunoglu, 2016]. Keskin and Yaylı were first introduced N-Bishop frame for a normal direction curve which is defined as an integral curve of the principal normal of a curve.…”

Section: Preliminariesmentioning

confidence: 99%

Some characterizations of the slant helices according to N-Bishop frame in Euclidean 3-space

Samanci¹,

Kocayiğit²,

Yildiz³

2018

ntmsci

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Section: Preliminariesmentioning

confidence: 99%

Some characterizations of the slant helices according to N-Bishop frame in Euclidean 3-space

Samanci¹,

Kocayiğit²,

Yildiz³

2018

ntmsci

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“…10 For the recent characterizations of the general and slant helices, we refer to previous studies. [12][13][14][15][16][17] Isophotic curves in E 3 are the regular curves that lie on a surface and have a property that the surface normals along those curves make a constant angle with a fixed direction. Isophotic curves are related with general and slant helices as follows: Geodesic isophotic curves are slant helices, and asymptotic isophotic curves are general helices.…”

Section: Introductionmentioning

confidence: 99%

On k‐type null Cartan slant helices in Minkowski 3‐space

Nešović

Öztürk²,

Öztürk

2018

Math Methods in App Sciences

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In this paper, we define k‐type null Cartan slant helices lying on a timelike surface in Minkowski space double-struckE13 according to their Darboux frame, where k ∈ {0,1,2}. We study these helices by using their geodesic curvature, normal curvature , and geodesic torsion. Additionally, we determine their axes and consider the special cases when the mentioned helices are geodesic curves and principal curvature lines lying on the timelike surface in double-struckE13. Furthermore, we obtain some interesting relations between 0‐, 1‐, and 2‐type null Cartan slant helices.

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“…Then we call it C − cons tan t precession curve [17]. In this paper, we focus on the Bertrand curves of C-constant precession with an alternative moving frame.…”

Section: Y Yilmazmentioning

confidence: 99%

“…Then α is a curve of C − cons tan t precession ⇔ the curve α is a C − slant helix. precession [17] .…”

Section: Preliminariesmentioning

confidence: 99%