Log in

Relevant bibliographies by topics / Slant helix / Journal articles

To see the other types of publications on this topic, follow the link: Slant helix.

Journal articles on the topic 'Slant helix'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Slant helix.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

Çalıskan, Abdussamet, and Bayram Şahin. "Slant helices on Riemannian manifolds." Filomat 38, no. 22 (2024): 7743–54. https://doi.org/10.2298/fil2422743c.

Full text

Abstract:

The notion of a slant helix in Euclidean space was defined by Izumiya and Takeuchi [5], and many authors have studied such curves in Euclidean spaces. The aim of this paper is to introduce the slant helix notion on Riemannian manifolds. The necessary conditions for a curve on a Riemannian manifold to be a slant helix are obtained in terms of differential equations. In addition, certain conditions were found for the slant helix along an immersion to be a slant helix in the ambient space. Moreover, a criterion is given for the slant helix along an immersion to be a circle in the ambient space (o

APA, Harvard, Vancouver, ISO, and other styles

2

EL HAIMI, Abderrazzak, Malika IZID, and Amina OUAZZANI CHAHDI. "Parametric Equations for Space Curves Whose Spherical Images Are Slant Helices." Journal of Mathematics Research 11, no. 5 (2019): 82. http://dx.doi.org/10.5539/jmr.v11n5p82.

Full text

Abstract:

The curve whose tangent and binormal indicatrices are slant helices is called a slant-slant helix.  In this paper, we give a new characterization of a slant-slant helix and determine a vector differential equation of the third order satisfied by the derivative of principal normal vector fields of a regular curve. In terms of solution, we determine the parametric representation of the slant-slant helix from the intrinsic equations.  Finally, we present some examples of slant-slant helices by means of intrinsic equations.

APA, Harvard, Vancouver, ISO, and other styles

3

Uddin, Siraj, Mica Stankovic, Mohd Iqbal, Sarvesh Yadav, and Mohd Aslam. "Slant helices in Minkowski 3-space E31 with Sasai’s modified frame fields." Filomat 36, no. 1 (2022): 151–64. http://dx.doi.org/10.2298/fil2201151u.

Full text

Abstract:

In this paper, we study slant helix using modified orthogonal frame in Minkowski space E31 with timelike, lightlike and spacelike axes. We also study a general slant helix with the Killing vector field axis. Furthermore, we give a non-trivial example and find the relations for curvature and torsion of f-biharmonic slant helix.

APA, Harvard, Vancouver, ISO, and other styles

4

Önder, Mehmet, Evren Zıplar, and Onur Kaya. "Eikonal slant helices and Eikonal Darboux helices in 3-dimensional Riemannian manifold." International Journal of Geometric Methods in Modern Physics 11, no. 05 (2014): 1450045. http://dx.doi.org/10.1142/s0219887814500455.

Full text

Abstract:

In this study, we give the definitions and characterizations of Eikonal slant helices, Eikonal Darboux helices and non-modified Eikonal Darboux helices in 3-dimensional Riemannian manifold M3. We show that every Eikonal slant helix is also an Eikonal Darboux helix. Furthermore, we obtain that if the curve α is a non-modified Eikonal Darboux helix, then α is an Eikonal slant helix if and only if κ2 + τ2 = constant, where κ and τ are curvature and torsion of α, respectively.

APA, Harvard, Vancouver, ISO, and other styles

5

Bukcu, Bahaddin, and Murat Kemal Karacan. "On The slant helices according to Bishop frame of the timelike curve in Lorentzian space." Tamkang Journal of Mathematics 39, no. 3 (2008): 255–62. http://dx.doi.org/10.5556/j.tkjm.39.2008.18.

Full text

Abstract:

T.Ikawa obtained the following differential equation$$D_{T}D_{T}D_{T}T-KD_{T}T,K=\kappa ^{2}-\tau ^{2}$$for the c\i rcular helix which corresponds the case that the curvature $ \kappa $ and torsion $ \tau $ of timelike curve $ \alpha $ on the Lorentzian manifold $ M_{1} $ are constant [5]. In this paper, we have defined a slant helix according to Bishop frame of the timelike curve. Furthermore, we have given some necessary and sufficent conditions for the slant helix and T.Ikawa's result is generalized to the case of the general slant helix.

APA, Harvard, Vancouver, ISO, and other styles

6

Alkan, Akın, and Mehmet Önder. "Osculating mate of a Frenet curve in the Euclidean 3-space." Acta et Commentationes Universitatis Tartuensis de Mathematica 27, no. 2 (2023): 157–69. http://dx.doi.org/10.12697/acutm.2023.27.13.

Full text

Abstract:

A new kind of partner curves called osculating mate of a Frenet curve is introduced. Some characterizations for osculating mate are obtained and using the obtained results some special curves such as slant helix, spherical helix, C-slant helix and rectifying curve are constructed.

APA, Harvard, Vancouver, ISO, and other styles

7

GÜZELKARDEŞLER, Gizem, and Burak ŞAHİNER. "An Alternative Method for Determination of the Position Vector of a Slant Helix." Journal of New Theory, no. 44 (September 30, 2023): 97–105. http://dx.doi.org/10.53570/jnt.1356697.

Full text

Abstract:

In this paper, we provide an alternative method to determine the position vector of a slant helix with the help of an alternative moving frame. We then construct a vector differential equation in terms of the principal normal vector of a slant helix using an alternative moving frame. By solving this vector differential equation, we determine the position vector of the slant helix. Afterward, we obtain parametric representations of some examples of slant helices for chosen curvature and torsion functions as an application of the proposed method. Finally, we discuss the method and whether furthe

APA, Harvard, Vancouver, ISO, and other styles

8

Saglam, Derya. "ON DUAL SLANT HELICES IN $D^3$." Advances in Mathematics: Scientific Journal 11, no. 7 (2022): 577–89. http://dx.doi.org/10.37418/amsj.11.7.2.

Full text

Abstract:

In this paper, by using the method in [6] we study dual tangent indicatrix and dual binormal indicatrix of a dual slant helix. Moreover we obtain the relationship between the dual slant helices and dual general helices in $\mathbb{D}^{3}.$ We get some characterizations of a dual slant helix in $\mathbb{D}^{3}$.

APA, Harvard, Vancouver, ISO, and other styles

9

Kusak Samanci, Hatce, and Ayhan Yildiz. "The slant helices according to N-Bishop frame of the spacelike curve with spacelike principal normal in Minkowski 3-space." Asian-European Journal of Mathematics 12, no. 06 (2019): 2040009. http://dx.doi.org/10.1142/s1793557120400094.

Full text

Abstract:

If the principal normal vector field of a curve makes a constant angle with constant direction, this curve is called as slant helix. In this paper, a slant helix is defined according to N-Bishop frame of the spacelike curve with a spacelike principal normal. Some characterizations of the slant helices are obtained according to spacelike curve N-Bishop frame with a spacelike principal normal, benefiting from the definition of the slant helices.

APA, Harvard, Vancouver, ISO, and other styles

10

Öztürk, Günay, Betül Bulca, Bengü Bayram, and Kadri Arslan. "Focal representation of k-slant Helices in Em+1." Acta Universitatis Sapientiae, Mathematica 7, no. 2 (2015): 200–209. http://dx.doi.org/10.1515/ausm-2015-0013.

Full text

Abstract:

Abstract The focal representation of a generic regular curve γ in Em+1 consists of the centers of the osculating hyperplanes. A k-slant helix γ in Em+1 is a (generic) regular curve whose unit normal vector Vk makes a constant angle with a fixed direction in Em+1. In the present paper we proved that if γ is a k-slant helix in Em+1, then the focal representation Cγ of γ in Em+1 is an (m− k + 2)-slant helix in Em+1.

APA, Harvard, Vancouver, ISO, and other styles

11

Isah, Muhammad Abubakar, and Mihriban Alyamaç Külahçı. "Special Curves According to Bishop Frame in Minkowski 3-Space." Applied Mathematics and Nonlinear Sciences 5, no. 1 (2020): 237–48. http://dx.doi.org/10.2478/amns.2020.1.00021.

Full text

Abstract:

AbstractPseudo null curves were studied by some geometers in both Euclidean and Minkowski spaces, but some special characters of the curve are not considered. In this paper, we study weak AW (k) – type and AW (k) – type pseudo null curve in Minkowski 3-space [E_1^3 . We define helix and slant helix according to Bishop frame in [E_1^3 . Furthermore, the necessary and sufficient conditions for the slant helix and helix in Minkowski 3-space are obtained.

APA, Harvard, Vancouver, ISO, and other styles

12

Deshmukh, Sharief, Azeb Alghanemi, and Rida Farouki. "Space curves defined by curvature-torsion relations and associated helices." Filomat 33, no. 15 (2019): 4951–66. http://dx.doi.org/10.2298/fil1915951d.

Full text

Abstract:

The relationships between certain families of special curves, including the general helices, slant helices, rectifying curves, Salkowski curves, spherical curves, and centrodes, are analyzed. First, characterizations of proper slant helices and Salkowski curves are developed, and it is shown that, for any given proper slant helix with principal normal n, one may associate a unique general helix whose binormal b coincides with n. It is also shown that centrodes of Salkowski curves are proper slant helices. Moreover, with each unit-speed non-helical Frenet curve in the Euclidean space E3, one ma

APA, Harvard, Vancouver, ISO, and other styles

13

YILMAZ, Beyhan, and Aykut HAS. "New Approach to Slant Helix." International Electronic Journal of Geometry 12, no. 1 (2019): 111–15. http://dx.doi.org/10.36890/iejg.545879.

Full text

APA, Harvard, Vancouver, ISO, and other styles

14

Ateş, Mine, та Mahmut Akyiğit. "Framed general helix and framed ζ ₃-slant helix in ℝ⁴". Analele Universitatii "Ovidius" Constanta - Seria Matematica 31, № 3 (2023): 15–26. https://doi.org/10.2478/auom-2023-0029.

Full text

Abstract:

Abstract In this paper, we focus on general and ζ 3-slant helices with any singular points in four-dimensional Euclidean space, which are called framed general and ζ 3-slant helices, respectively. Then, we state and prove the conditions of necessity and su ciency for any framed curves to be general helices or ζ 3-slant helices in ℝ4. Also, we give some characterizations for framed helices.

APA, Harvard, Vancouver, ISO, and other styles

15

Altınkaya, Anıl, and Mustafa Çalışkan. "On Spatial Quaternionic b-lift Curves." Analele Universitatii "Ovidius" Constanta - Seria Matematica 31, no. 3 (2023): 5–14. https://doi.org/10.2478/auom-2023-0028.

Full text

Abstract:

Abstract 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. Furthermore, we defined the spatial quaternionic b-lift curve and characterized of Frenet fields. Afterward, we found the curvatures of the b-lift curve and using them we obtained a result between the quaternionic slant helix and quaternionic general helix. Finally, we consolidated our results with an example and visualized our curves with the MATLAB program.

APA, Harvard, Vancouver, ISO, and other styles

16

Güvenç, Şaban, and Cihan Özgür. "C-parallel and C-proper slant curves of S-manifolds." Filomat 33, no. 19 (2019): 6305–13. http://dx.doi.org/10.2298/fil1919305g.

Full text

Abstract:

In the present paper, we define and study C-parallel and C-proper slant curves of S-manifolds. We prove that a slant curve in an S-manifold of order r ? 3, under certain conditions, is C-parallel or C-parallel in the normal bundle if and only if it is a non-Legendre slant helix or Legendre helix, respectively. Moreover, under certain conditions, we show that is C-proper or C-proper in the normal bundle if and only if it is a non-Legendre slant curve or Legendre curve, respectively. We also give two examples of such curves in R2m+s(-3s).

APA, Harvard, Vancouver, ISO, and other styles

17

Nesovic, Emilija, Ufuk Öztürk, and Öztürk Koç. "On non-null relatively normal-slant helices in Minkowski 3-space." Filomat 36, no. 6 (2022): 2051–62. http://dx.doi.org/10.2298/fil2206051n.

Full text

Abstract:

By using the Darboux frame |?, ?, ?| of a non-null curve lying on a timelike surface in Minkowski 3-space, where ? is the unit tangent vector of the curve, ? is the unit spacelike normal vector field restricted to the curve and ? = ?? ? ?, we define relatively normal-slant helices as the curves satisfying the condition that the scalar product of the fixed vector spanning their axis and the non-constant vector field ? is constant. We give the necessary and sufficient conditions for non-null curves lying on a timelike surface to be relatively normal-slant helices. We consider the special cases w

APA, Harvard, Vancouver, ISO, and other styles

18

Kumar, Santosh, and Buddhadev Pal. "K-type slant helices on spacelike and timelike surfaces." Acta et Commentationes Universitatis Tartuensis de Mathematica 25, no. 2 (2021): 201–20. http://dx.doi.org/10.12697/acutm.2021.25.14.

Full text

Abstract:

We have derived a necessary and sufficient condition for a non-null normal spacelike curve lying in a spacelike or a timelike surface M ⊂ E13, so that the curve becomes a K-type spacelike slant helix with K ∈ {1,2,3}. We have used Darboux frame to define necessary and sufficient conditions. An example is given for a 1-type spacelike slant helix having a spacelike normal and a timelike binormal.

APA, Harvard, Vancouver, ISO, and other styles

19

Li, Yanlin, Akın Alkan, Mehmet Önder, and Yuquan Xie. "Slant Helices and Darboux Helices in Myller Configuration." Axioms 14, no. 5 (2025): 353. https://doi.org/10.3390/axioms14050353.

Full text

Abstract:

In this paper, we study slant helices (or ξ_2-helices) and Darboux helices in the Myller configuration M. We demonstrate that a curve in M is a slant helix if and only if it is a Darboux helix. We present the alternative frame for a curve in M. Furthermore, we derive the differential equations that characterize the curves in M using both the Frenet-type frame and the alternative frame.

APA, Harvard, Vancouver, ISO, and other styles

20

Kula, L., and Y. Yayli. "On slant helix and its spherical indicatrix." Applied Mathematics and Computation 169, no. 1 (2005): 600–607. http://dx.doi.org/10.1016/j.amc.2004.09.078.

Full text

APA, Harvard, Vancouver, ISO, and other styles

21

MENNINGER, Anton. "CHARACTERIZATION OF THE SLANT HELIX AS SUCCESSOR CURVE OF THE GENERAL HELIX." International Electronic Journal of Geometry 7, no. 2 (2014): 84–91. http://dx.doi.org/10.36890/iejg.593986.

Full text

APA, Harvard, Vancouver, ISO, and other styles

22

KAYA, Onur. "Non-lightlike Helices Associated with Helical Curves, Relatively Normal-Slant Helices and Isophote Curves in Minkowski 3-space." Fundamentals of Contemporary Mathematical Sciences 4, no. 2 (2023): 107–27. http://dx.doi.org/10.54974/fcmathsci.1246015.

Full text

Abstract:

In this paper, we introduce a new type of non-lightlike general helix that we name non-lightlike associated helix which is associated with a non-lightlike special surface curve. By using the Darboux frame of a surface curve, we generate the position vector of a non-lightlike associated helix in parametric form. We investigate special cases when the non-lightlike surface curve is a helical curve, a relatively normal-slant helix or an isophote curve. In every case, we obtain the position vector of the non-lightlike associated helix by solving differential equations and examples are given for the

APA, Harvard, Vancouver, ISO, and other styles

23

Yilmaz, Yildirim, Mihriban Külahci, and Alper Öğrenmiş. "A slant helix characterization in Riemann-Otsuki space." Mathematica Moravica 16, no. 2 (2012): 99–106. http://dx.doi.org/10.5937/matmor1202099y.

Full text

APA, Harvard, Vancouver, ISO, and other styles

24

Mak, Mahmut. "Framed clad helices in Euclidean 3-space." Filomat 37, no. 28 (2023): 9627–40. http://dx.doi.org/10.2298/fil2328627m.

Full text

Abstract:

In this study, we introduce framed clad helices, which are a generalization of clad (i.e. C-slant or 2-slant) helices in Euclidean 3-space. They also include framed helices and framed slant helices. After, we give a characterization of the framed clad helices using the alternative adapted frame, which is more useful than the adapted frame of a framed curve. Moreover, we prove the existence of framed spherical images of any framed curve using alternative adapted frames. Additionally, we obtain interesting results regarding the relationship between a framed clad helix and its framed spherical im

APA, Harvard, Vancouver, ISO, and other styles

25

Güven, Ìlkay Arslan, Semra Kaya Nurkan, and Ìpek Agaoglu Tor. "Spherical Images of W-Direction Curves in Euclidean 3-Space." Journal of Mathematics Research 12, no. 3 (2020): 39. http://dx.doi.org/10.5539/jmr.v12n3p39.

Full text

Abstract:

In this paper, we study the spherical indicatrices of W-direction curves in three dimensional Euclidean space which were defined by using the unit Darboux vector field W of a Frenet curve. We obtain the Frenet apparatus of these spherical indicatrices and the characterizations of being general helix and slant helix. Moreover we give some properties between the spherical indicatrices and their associated curves.

APA, Harvard, Vancouver, ISO, and other styles

26

Mendonca, Thiago, Jose Alan, and Renato Teixeira. "Smarandache Curves of Natural Curves Pair According to Frenet Frame." Advances in Research 25, no. 5 (2024): 1–13. http://dx.doi.org/10.9734/air/2024/v25i51131.

Full text

Abstract:

Smarandache curves play a significant role in differential geometry. They extend conventional differential geometry concepts and help uncover novel geometric properties. In this work, we define the Smarandache curves of the Natural mate of any given curve \(\alpha\) and calculate their Frenet apparatus. As a particular case, we present the Frenet apparatus when \(\alpha\) is a helix. Additionally, we illustrate an example for the slant helix.

APA, Harvard, Vancouver, ISO, and other styles

27

Liu, Tongchang, and Donghe Pei. "Null helices and Cartan slant helices in Lorentz–Minkowski 3-space." International Journal of Geometric Methods in Modern Physics 16, no. 11 (2019): 1950179. http://dx.doi.org/10.1142/s0219887819501792.

Full text

Abstract:

In this paper, we study null helices, Cartan slant helices and two special developable surfaces associated to them in Lorentz–Minkowski 3-space. We give a method using a special plane curve to construct a null helix. We also define the null tangential Darboux developable of a null Cartan curve, and we give a classification of singularities of it. Moreover, we study the relationship between null helices (or Cartan slant helices) with the developable surfaces of them.

APA, Harvard, Vancouver, ISO, and other styles

28

Damar, Esra. "Adjoint curves of special Smarandache curves with respect to Bishop frame." AIMS Mathematics 9, no. 12 (2024): 35355–76. https://doi.org/10.3934/math.20241680.

Full text

Abstract:

<p>In this paper, I introduced adjoint curves generated by means of integral curves of special Smarandache curves with respect to the Bishop frame in three-dimensional Euclidean space. Relations between the main curve and the Bishop apparatus of these adjoint curves were obtained. Some important results were given concerning the slant helix and general helix of these curves. Finally, I illustrated them with figures.</p>

APA, Harvard, Vancouver, ISO, and other styles

29

Ergüt, Mahmut, Talat Körpınar, and Essin Turhan. "One parameter family of b-m₁ developable surfaces of biharmonic new type b-slant helices according to Bishop frame in the sol space Sol³." Boletim da Sociedade Paranaense de Matemática 31, no. 2 (2013): 121. http://dx.doi.org/10.5269/bspm.v31i2.16296.

Full text

Abstract:

In this paper, we study inextensible flows of b-m₁ developable surfaces of biharmonic new type b-slant helix in the Sol³. We characterize one parameter family of the b-m₁ developable surfaces in terms of their Bishop curvatures.

APA, Harvard, Vancouver, ISO, and other styles

30

Dogan, Fatih. "The proof of theorem which characterizes a slant helix." New Trends in Mathematical Science 4, no. 2 (2016): 56. http://dx.doi.org/10.20852/ntmsci.2016217021.

Full text

APA, Harvard, Vancouver, ISO, and other styles

31

Körpinar, Talat, and Essin Turhan. "b-Smarandache tm₂ curves of biharmonic new type b-slant helices according to Bishop frame in the Sol space Sol³." Boletim da Sociedade Paranaense de Matemática 31, no. 2 (2013): 265. http://dx.doi.org/10.5269/bspm.v31i2.18273.

Full text

Abstract:

In this paper, we study b-Smarandache tm₂ curves of biharmonic new type b-slant helix in the Sol³. We characterize the b-Smarandache tm₂ curves in terms of their Bishop curvatures. Finally, we find out their explicit parametric equations in the Sol³.

APA, Harvard, Vancouver, ISO, and other styles

32

Kahveci̇, Derya, and Yusuf Yayli. "Persistent rigid-body motions on slant helices." International Journal of Geometric Methods in Modern Physics 16, no. 12 (2019): 1950193. http://dx.doi.org/10.1142/s0219887819501937.

Full text

Abstract:

This paper reviews the persistent rigid-body motions and examines the geometric conditions of the persistence of some special frame motions on a slant helix. Unlike the Frenet–Serret motion on general helices, the Frenet–Serret motion on slant helices can be persistent. Moreover, even the adapted frame motion on slant helices can be persistent. This paper begins by explaining one-dimensional rigid-body motions and persistent motions. Then, it continues to present persistent frame motions in terms of their instantaneous twists and axode surfaces. Accordingly, the persistence of any frame motion

APA, Harvard, Vancouver, ISO, and other styles

33

ÇİÇEK ÇETİN, Esra, Mehmet BEKTAŞ, and Münevver Yıldırım YILMAZ. "On the Assocıated Curves of a Frenet Curve in R_1^4." Cumhuriyet Science Journal 43, no. 2 (2022): 273–76. http://dx.doi.org/10.17776/csj.885772.

Full text

Abstract:

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 of 4-dimensional Minkowski space. Then we introduce some characterizations for general helix and slant helix. Finally, some new associated curves and theorems obtained for space-like curves and time- like curves in R14. Also, an example is given.

APA, Harvard, Vancouver, ISO, and other styles

34

Zıplar, Evren, Yusuf Yaylı, and İsmail Gök. "A New Approach on Helices in Pseudo-Riemannian Manifolds." Abstract and Applied Analysis 2014 (2014): 1–6. http://dx.doi.org/10.1155/2014/718726.

Full text

Abstract:

A proper curveαin then-dimensional pseudo-Riemannian manifold(M,g)is called aVn-slant helix if the functiong(Vn,X)is a nonzero constant alongα, whereXis a parallel vector field alongαandVnisnth Frenet frame. In this work, we study such curves and give important characterizations about them.

APA, Harvard, Vancouver, ISO, and other styles

35

KÖSE, Büşra, and Yusuf YAYLI. "Approximations of Parallel Surfaces Along Curves." International Electronic Journal of Geometry 16, no. 2 (2023): 715–26. http://dx.doi.org/10.36890/iejg.1362590.

Full text

Abstract:

In this paper, we study developable surfaces which are flat and normal approximation of parallel surfaces along curves associated with three special vector fields. It is known that a surface whose points are at a constant distance along the normal of the surface is called a parallel surface. We investigate singularities of such developable surfaces. We show that under what conditions the approach surfaces are parallel. Also, we show that the approach surfaces are constant angle ruled surfaces if the curves selected on the surfaces are isophote, relatively normal-slant helix and helix.

APA, Harvard, Vancouver, ISO, and other styles

36

Kaymanli, Gul Ugur, Mustafa Dede, and Cumali Ekici. "Directional spherical indicatrices of timelike space curve." International Journal of Geometric Methods in Modern Physics 17, no. 11 (2020): 2030004. http://dx.doi.org/10.1142/s0219887820300044.

Full text

Abstract:

In this work, the directional spherical indicatrices of a timelike space curve using tangent, quasi-normal and quasi-binormal vectors with q-frame are introduced. Then we work on the condition, that a timelike space curve to be slant helix, by using the geodesic curvature of the directional normal spherical indicatrix. Finally, an application of the results is given.

APA, Harvard, Vancouver, ISO, and other styles

37

Gningue, Mamadou, Ameth Ndiaye, and Rénovat Nkunzimana. "Biharmonic Curves in a Strict Walker 3-Manifold." International Journal of Mathematics and Mathematical Sciences 2022 (February 22, 2022): 1–6. http://dx.doi.org/10.1155/2022/3855033.

Full text

Abstract:

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. We discuss the conditions for a speed curve to be a slant helix in a Walker manifold. We give an example of biharmonic curve for illustrating the main result.

APA, Harvard, Vancouver, ISO, and other styles

38

Bekar, Murat, та Yusuf Yayli. "Slant Helix Curves and Acceleration Centers in Minkowski 3-Space Ε31". Journal of Advanced Physics 6, № 1 (2017): 133–41. http://dx.doi.org/10.1166/jap.2017.1306.

Full text

Abstract:

In this study, some basic concepts (e.g., instant screw axis (ISA), instantaneous pole points, acceleration pole points) will be given and analyzed about an alternative one-parameter motion of a rigid-body in 3-dimensional Minkowski space Ε31 obtained by moving coordinate frame {N, C, W} along a non-null unit speed curve α = α(t), where N, C and W correspond to unit principal normal vector field, derivative vector field of unit principal normal vector field and Darboux vector field (or angular-velocity vector field) of the non-null unit speed curve α, respectively.

APA, Harvard, Vancouver, ISO, and other styles

39

Ates, Fatma, Ismail Gok, and Faik Nejat Ekmekci. "A New Kind of Slant Helix in Lorentzian (n + 2)- Spaces." Kyungpook mathematical journal 56, no. 3 (2016): 1003–16. http://dx.doi.org/10.5666/kmj.2016.56.3.1003.

Full text

APA, Harvard, Vancouver, ISO, and other styles

40

Qin Heying, 覃荷瑛, 霍婷婷 Huo Tingting, and 朱万旭 Zhu Wanxu. "Desensitization Effect of Helix-Slant Composite Technology on Fiber Bragg Grating Sensor." Laser & Optoelectronics Progress 54, no. 3 (2017): 030601. http://dx.doi.org/10.3788/lop54.030601.

Full text

APA, Harvard, Vancouver, ISO, and other styles

41

Uzunoğlu, Beyhan, Çağla Ramis, and Yusuf Yayli. "On Curves ofNk–Slant Helix andNk–Constant Precession in Minkowski 3–Space." Journal of Dynamical Systems and Geometric Theories 12, no. 2 (2014): 175–89. http://dx.doi.org/10.1080/1726037x.2014.988933.

Full text

APA, Harvard, Vancouver, ISO, and other styles

42

Ali, Ahmad T., and Melih Turgut. "Position vector of a time-like slant helix in Minkowski 3-space." Journal of Mathematical Analysis and Applications 365, no. 2 (2010): 559–69. http://dx.doi.org/10.1016/j.jmaa.2009.11.026.

Full text

APA, Harvard, Vancouver, ISO, and other styles

43

Lucas, Pascual, and José Antonio Ortega-Yagües. "Helix surfaces and slant helices in the three-dimensional anti-De Sitter space." Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 111, no. 4 (2016): 1201–22. http://dx.doi.org/10.1007/s13398-016-0361-8.

Full text

APA, Harvard, Vancouver, ISO, and other styles

44

Yavari, Morteza, and Mehdi Zarrati. "The slant helix solutions of the equilibrium shape equations for the biopolymer chains." Chinese Journal of Physics 55, no. 2 (2017): 444–56. http://dx.doi.org/10.1016/j.cjph.2016.11.008.

Full text

APA, Harvard, Vancouver, ISO, and other styles

45

ÖZTÜRK, Emre. "A nonlinear transformation between space curves defined by curvature-torsion relations in 3-dimensional Euclidean space." Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics 72, no. 2 (2023): 307–30. http://dx.doi.org/10.31801/cfsuasmas.1083750.

Full text

Abstract:

In this paper, we define a nonlinear transformation between space curves which preserves the ratio of $\tau/\kappa$ of the given curve in 3−dimensional Euclidean space $E^3$. We investigate invariant and associated curves of this transformation by the help of curvature and torsion functions of the base curve. Moreover, we define a new curve (family) so-called quasi-slant helix, and we obtain some characterizations in terms of the curvatures of this curve. Finally, we examine some curves in the kinematics, and give the pictures of some special curves and their images with respect to the transfo

APA, Harvard, Vancouver, ISO, and other styles

46

Li, Yanlin, Zhigang Wang, and Tiehong Zhao. "Slant helix of order n and sequence of Darboux developables of principal‐directional curves." Mathematical Methods in the Applied Sciences 43, no. 17 (2020): 9888–903. http://dx.doi.org/10.1002/mma.6663.

Full text

APA, Harvard, Vancouver, ISO, and other styles

47

Eri̇şi̇r, Tülay, Gökhan Mumcu, Sezai̇ Kiziltuğ, and Funda Akar. "A New Construction of Rectifying Direction Curves for Quaternionic Space Q." WSEAS TRANSACTIONS ON MATHEMATICS 24 (March 14, 2025): 114–25. https://doi.org/10.37394/23206.2025.24.13.

Full text

Abstract:

Our article focuses on the study of quaternions topic introduced by Hamilton. Quaternions are a generalization of complex numbers and have multiple applications in mathematical physics. Another application of quaternions is robotics because what generalizes the imaginary axis is the family i, j, k modeling Euler angles and rotations in space. The first part of the article we recall the different definitions of how the algebra of quaternions is well constructed. The main results are given in the third part and concern: spatial quaternionics rectifying-direction (sqRD) curves and and spatial qua

APA, Harvard, Vancouver, ISO, and other styles

48

Körpınar, Talat. "A new version of energy for involute of slant helix with bending energy in the Lie groups." Acta Scientiarum. Technology 41, no. 1 (2019): 36569. http://dx.doi.org/10.4025/actascitechnol.v41i1.36569.

Full text

APA, Harvard, Vancouver, ISO, and other styles

49

Körpinar, Talat. "A Note on Fermi Walker Derivative with Constant Energy for Tangent Indicatrix of Slant Helix in the Lie Groups." Journal of Advanced Physics 7, no. 2 (2018): 230–34. http://dx.doi.org/10.1166/jap.2018.1418.

Full text

APA, Harvard, Vancouver, ISO, and other styles

50

Alghanemi, Azeb, Ghadah Matar та Amani Saloom. "The Differential Geometry of a Space Curve via a Constant Vector in ℝ3". Axioms 14, № 3 (2025): 190. https://doi.org/10.3390/axioms14030190.

Full text

Abstract:

The differential geometry of space curves is a fascinating area of research for mathematicians and physicists, and this refers to its crucial applications in many areas. In this paper, a new method is derived to study the differential geometry of space curves. More specifically, the position vector of a constant vector in R3 is given in the Frenet apparatus of a space curve, and it is implemented to study the differential geometry of the given space curve. Easy and neat proofs of various well-known results are given using this new method. Also, new results and the properties of space curves ar

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!