Results 61 to 70 of about 2,903 (143)

On Timelike Rectifying Slant Helices in Minkowski 3-Space

International Electronic Journal of Geometry, 2018
A curve is called a slant helix provided that its principal normal vector field makes a constant angle with a fixed direction along the curve. A slant helix is called rectifying if its position vector always lies in its rectifying plane which is generated by the tangent and the binormal vector fields of the curve.
ALTUNKAYA, Bülent, KULA, Levent
openaire   +4 more sources

Disentanglement of a Bipartite System Portrayed in a (3+1)D Compact Minkowski Manifold: Quadridistances and Quadrispeeds

Physics
In special relativity, particle trajectories, whether mass-bearing or not, can be traced on the Minkowski spacetime manifold in (3+1)D. Meantime, in quantum mechanics, trajectories in the phase space are not strictly outlined because coordinate and ...
Salomon S. Mizrahi
doaj   +1 more source

The Ruled Surfaces According to Bishop Frame in Minkowski 3-Space

Abstract and Applied Analysis, 2013
We investigate the ruled surfaces generated by a straight line in Bishop frame moving along a spacelike curve in Minkowski 3-space. We obtain the distribution parameters, mean curvatures.
Nural Yüksel
doaj   +1 more source

Non-Null Weakened Mannheim Curves in Minkowski 3-Space

Annals of the Alexandru Ioan Cuza University - Mathematics, 2015
Abstract In this study, non-null Frenet-Mannheim curves and non-null Weakened Mannheim curves are investigated in Minkowski 3-space. Some characterizations for this curves are obtained.
Tunçer, Yılmaz, Karacan, Murat Kemal, Yoon D.W.   +2 more
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Flexible polyhedra in the Minkowski 3-space

, 2001
Given a polyhedral surface, assume that it is prohibited to change the shape and size of any face but it is permissible to change the dihedral angles between the faces. A polyhedral surface is said to be flexible if it is possible to change its shape under the above restrictions.
openaire   +2 more sources

Timelike line congruences via surface theory in Minkowski 3-space

AIP Advances
Line congruences are crucial in classical geometry, particularly in relating one surface to another through families of lines. These correspondences are most valuable when they preserve key geometric features of the original surface.
Areej A. Almoneef, Rashad A. Abdel-baky
doaj   +1 more source

No Null-Helix Mannheim Curves in the Minkowski Space E13

International Journal of Mathematics and Mathematical Sciences, 2011
We study a null Mannheim curve with time-like or space-like Mannheim partner curve in the Minkowski 3-space E13. We get the characterization of a null Mannheim curve.
Jae Won Lee
doaj   +1 more source

Singularities of lightcone pedals of spacelike curves in Lorentz-Minkowski 3-space

Open Mathematics, 2016
In this paper, geometric properties of spacelike curves on a timelike surface in Lorentz-Minkowski 3-space are investigated by applying the singularity theory of smooth functions from the contact viewpoint.
Chen Liang
doaj   +1 more source

Smarandache Curves Of Null Quaternionic Curves In Minkowski 3-space

MANAS: Journal of Engineering, 2018
In this paper, we define Smarandache curves of null quaternionic curves in the semi ...
T. Kahraman
doaj  

Spacelike surface families interpolating common asymptotic curves in Minkowski 3-space

Frontiers in Physics
In this paper, we propose a method for constructing families of spacelike surfaces in Minkowski 3-spaceE13 that share Bertrand curves as asymptotic curves.
Areej A. Almoneef, Rashad A. Abdel-Baky
doaj   +1 more source