Results 91 to 100 of about 110,284 (194)

On parallel surfaces in minkowski 3-space

, 2013
In this paper, we study on some properties of parallel surfaces in Minkowski 3-space. The results given in this paper were given in Euclidean space by [7, 8]. By using these two former studies, we show these properties in Minkowski 3-space. Also we give the relation among the fundamental forms of parallel surfaces in Minkowski 3-space.
UNLUTURK, Yasin, OZUSAGLAM, Erdal
openaire   +3 more sources

Integrable system of null curve and Betchov-Da Rios equation

Demonstratio Mathematica
This study focuses on the time evolution of a null curve using a new frame and a new transformation in Minkowski 3-space. Accordingly, Landau–Lifshitz and coupled Boussinesq-like equations for the null curve are provided in terms of the new ...
Yoon Dae Won
doaj   +1 more source

A uniqueness theorem for warped N > 16 Minkowski backgrounds with fluxes

Physics Letters B, 2019
We demonstrate that warped Minkowski space backgrounds, Rn−1,1×wMd−n, n≥3, that preserve strictly more than 16 supersymmetries in d=11 and type II d=10 supergravities and with fields which may not be smooth everywhere are locally isometric to the Rd−1,1 ...
S. Lautz, G. Papadopoulos
doaj   +1 more source

Generalized Bour's theorem in Minkowski 3-space

, 2015
We obtain isometric minimal helicoidal and rotational surfaces using generalized Bour's theorem in three dimensional Minkowski space. In addition, we show that the surfaces preserve minimality when their Gauss maps identically equal, choosing any diffentiable functions on the profile curve.
Güler, Erhan, Yaylı, Yusuf
openaire   +2 more sources

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
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