Results 11 to 20 of about 195,464 (230)
Framed slant helices in Euclidean 3-space
Advances in Difference Equations, 2021 In this paper, we define framed slant helices and give a necessary and sufficient condition for them in three-dimensional Euclidean space. Then, we introduce the spherical images of a framed curve.
Osman Zeki Okuyucu, Mevlüt Canbirdi
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The proof of theorem which characterizes a slant helix
New Trends in Mathematical Science, 2016 Firstly, the axis of a slant helix is found. Secondly, the theorem which characterizes a slant helix is proved in detail. The importance of this theorem is stemed from that it has been led to doing many papers about slant helices.
F. Doğan
semanticscholar +3 more sources
A New Kind of Slant Helix in Lorentzian (n + 2)- Spaces
Kyungpook mathematical journal, 2016 In this paper, we introduce a new kind of slant helix for null curves called null Wn−slant helix and we give a definition of new harmonic curvature functions of a null curve in terms of Wn in (n + 2)−dimensional Lorentzian space M 1 (for n > 3). Also, we
Fatma Ateş, I. Gök, F. N. Ekmekci
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$k -$type slant helix and generalized Bertrand curve in three dimensional quadratic Lie group
Novi Sad Journal of MathematicsSantosh Kumar, Buddhadev Pal
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Generalization of general helices and slant helices [PDF]
Journal of Mahani Mathematical Research, 2017 In this work, we use the formal definition of $k$-slant helix cite{ali2} to obtain the intrinsic equations as well as the position vector for emph{slant-slant helices} which a generalization of emph{general helices} and emph{slant helices}.
Ahmet Ali
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On Spatial Quaternionic b-lift Curves
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 This study is based on the discovered relationships between the quaternionic slant helix and the quaternionic general helix. In this direction, we first examined quaternions, spatial quaternionic curves and b-lift curves.
Altınkaya Anıl, Çalışkan Mustafa
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On the Assocıated Curves of a Frenet Curve in R_1^4
Cumhuriyet Science Journal, 2022 In the present work, we have dealt with the properties of associated curves of a Frenet curve in R14. In addition to this, we define principal direction curve, B_1 -direction curve, B_2- direction curve of a given Frenet curve by using integral curves ...
Mehmet Bektaş +2 more
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Framed Natural Mates of Framed Curves in Euclidean 3-Space
Mathematics, 2023 In this study, we consider framed curves as regular or singular space curves with an adapted frame in Euclidean 3-space. We define framed natural mates of a framed curve that are tangent to the generalized principal normal of the framed curve ...
Yanlin Li, Mahmut Mak
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Biharmonic Curves in a Strict Walker 3-Manifold
International Journal of Mathematics and Mathematical Sciences, 2022 In this paper, we study the geometry of biharmonic curves in a strict Walker 3-manifold and we obtain explicit parametric equations for biharmonic curves and time-like biharmonic curves, respectively.
Mamadou Gningue +2 more
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On the Geometrical Properties of the Lightlike Rectifying Curves and the Centrodes
Mathematics, 2021 This paper mainly focuses on some notions of the lightlike rectifying curves and the centrodes in Minkowski 3-space. Some geometrical characteristics of the three types of lightlike curves are obtained.
Jianguo Sun, Yanping Zhao, Xiaoyan Jiang
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