Results 1 to 10 of about 90,421,360 (175)

Null Darboux Curve Pairs in Minkowski 3-Space

Axioms, 2021
Based on the fundamental theories of null curves in Minkowski 3-space, the null Darboux mate curves of a null curve are defined which can be regarded as a kind of extension for Bertrand curves and Mannheim curves in Minkowski 3-space.
Jinhua Qian, Mingyu Sun, Pei Yin, Young-Ho Kim   +3 more
doaj   +2 more sources

A New Angular Measurement in Minkowski 3-Space

Mathematics, 2020
In Lorentz−Minkowski space, the angles between any two non-null vectors have been defined in the sense of the angles in Euclidean space. In this work, the angles relating to lightlike vectors are characterized by the Frenet frame of a pseudo null ...
Jinhua Qian, Xueqian Tian, Jie Liu, Young Ho Kim   +3 more
doaj   +2 more sources

A note on parametric surfaces in Minkowski 3-space. [PDF]

ScientificWorldJournal, 2014
With the help of the Frenet frame of a given pseudo null curve, a family of parametric surfaces is expressed as a linear combination of this frame. The necessary and sufficient conditions are examined for that curve to be an isoparametric and asymptotic ...
Koc Ozturk EB.
europepmc   +2 more sources

Geometry and evolution of Hasimoto surface in Minkowski 3-space. [PDF]

PLoS One
Abdel-Aziz HS, Serry HM, El-Adawy FM, Saad MK.   +3 more
europepmc   +2 more sources

The Geometry of Bezier Curves in Minkowski 3−Space

Universal Journal of Mathematics and Applications, 2023
The scope of this paper is to look at some aspects of the differential geometry of Bezier curves in Minkowski space. For that purpose, we firstly introduce Frenet Bezier curve in Minkowski 3-space.
Ayşe Yılmaz Ceylan
doaj   +1 more source

Generalized Bertrand Curves in Minkowski 3-Space

Mathematics, 2020
We define a generalized lightlike Bertrand curve pair and a generalized non-lightlike Bertrand curve pair, discuss their properties and prove the necessary and sufficient condition of a curve which is a generalized lightlike or a generalized non ...
Chunxiao Zhang, Donghe Pei
doaj   +1 more source

Spacelike Bertrand curves in Minkowski 3-space revisited

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
In the geometry of curves in 𝔼3, if the principal normal vector field of a given space curve ϕ with non-zero curvatures is the principal normal vector field of another space curve ϕ*, then the curve ϕ is called a Bertrand curve and ϕ* is called Bertrand ...
Erdem Hatice Altın, İlarslan Kazım
doaj   +1 more source

Timelike V-Bertrand Curves in Minkowski 3-Space $E_{1}^{3}$

Journal of New Theory, 2022
In this paper, the timelike V-Bertrand curve, a new type Bertrand curve in Minkowski 3-Space $E_{1}^{3}$, is characterized. Based on the timelike V-Bertrand curve, the properties of the timelike T, N, and B Bertrand curves are obtained. From the timelike
Burhan Bilgin, Çetin Camcı
doaj   +1 more source

Evolutoids and pedaloids of frontals on timelike surfaces

Open Mathematics, 2023
In this article, we define evolutoids and pedaloids of frontals on timelike surfaces in Minkowski 3-space. The evolutoids of frontals on timelike surfaces are not only the generalization of evolutoids of curves in the Minkowski plane but also the ...
Wang Yongqiao, Yang Lin, Chang Yuan, Liu Haiming   +3 more
doaj   +1 more source

Introduction to Timelike Uniform B-splineCurves in Minkowski-3 Space

Journal of Mathematical Sciences and Modelling, 2018
The intention of this article is to study on timelike uniform B-spline curves in Minkowski-3 space. In our paper, we take the control points of uniform B-spline curves as a timelike point in Minkowski-3 space.
Hatice Kuşak Samancı
doaj   +1 more source