Results 21 to 30 of about 195,464 (230)

Geometrical Properties of the Pseudonull Hypersurfaces in Semi-Euclidean 4-Space

Mathematics, 2021
In this paper, we focus on some geometrical properties of the partially null slant helices in semi-Euclidean 4-space. By structuring suitable height functions, we obtain the singularity types of the pseudonull hypersurfaces, which are generated by the ...
Jianguo Sun, Xiaoyan Jiang, Fenghui Ji
doaj   +1 more source

A New Moving Frame for Trajectories with Non-Vanishing Angular Momentum

Journal of Mathematical Sciences and Modelling, 2021
The theory of curves has a very long history. Moving frames defined on curves are important parts of this theory. They have never lost their importance.
Kahraman Esen Özen, Murat Tosun
doaj   +1 more source

A unified method for constructing developable surface pencils interpolating characteristic curves

Frontiers in Physics, 2022
Developable surface is a simple and common surface in surface modeling. Geodesic, line of curvature, asymptotic curve, and D-type curve are important characteristic curves on the surfaces.
Jun Wang, Miaochao Chen, Dongyin Wang
doaj   +1 more source

Non-lightlike Helices Associated with Helical Curves, Relatively Normal-Slant Helices and Isophote Curves in Minkowski 3-space

Fundamentals of Contemporary Mathematical Sciences, 2023
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.
O. Kaya
semanticscholar   +1 more source

The Explicit Determinations Of Dual Plane Curves And Dual Helices In Terms Of Its Dual Curvature And Dual Torsion

Demonstratio Mathematica, 2014
In this paper, we give the explicit determinations of dual plane curves, general dual helices and dual slant helices in terms of its dual curvature and dual torsion as a fundamental theory of dual curves in a dual 3 ...
Lee Jae Won, Choi Jin Ho, Jin Dae Ho
doaj   +1 more source

CHARACTERIZATION OF BI-NULL SLANT(BNS) HELICES OF (k,m )-TYPE IN R^3_1 AND R^5_ 2

Facta Universitatis Series Mathematics and Informatics, 2023
The present study discusses bi-null slant helices of $(k, m)$ type in $R_2^5$ and give the characterization for a curve to be certain $(k,m)$ type bi null slant helix (BNS helix).
Shujaul Hasan Khan, Mohammed Jamali, M. Aslam   +2 more
semanticscholar   +1 more source

Slant helices in Minkowski 3-space E31 with Sasai’s modified frame fields

Filomat, 2022
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.
S. Uddin, Mića S. Stanković, Mohd Iqbal, S. Yadav, M. Aslam   +4 more
semanticscholar   +1 more source

Some new types of associated curves in Euclidean 3-space

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
In this paper, we introduce the concept of D-direction curve and C- direction curve of a given curve using the alternative frame –N,C,W} in Euclidean 3-space.
Özdoğan Sibel, Tuncer O. Oğulcan, Gök İsmail, Yaylı Yusuf   +3 more
doaj   +1 more source

ON DUAL SLANT HELICES IN $D^3$

Advances in Mathematics: Scientific Journal, 2022
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 ...
D. Saglam
semanticscholar   +1 more source

On non-null relatively normal-slant helices in Minkowski 3-space

Filomat, 2022
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 ? = ?? ?
E. Nešović, Ufuk Ozturk, Öztürk Koç
semanticscholar   +1 more source