Results 81 to 90 of about 280 (131)
PhysicsIn 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
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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
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Characterizations of Spacelike Slant Helices In Minkowski 3-Space
Annals of the Alexandru Ioan Cuza University - Mathematics, 2014 Abstract In this paper, we investigate tangent indicatrix, principal normal indicatrix and binormal indicatrix of a spacelike curve with spacelike, timelike and null principal normal vector in Minkowski 3-space E3 1 and we construct their Frenet equations and curvature functions.
Gök, I. +4 more
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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
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Timelike line congruences via surface theory in Minkowski 3-space
AIP AdvancesLine 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
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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
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Umbilics of surfaces in the Minkowski 3-space
Journal of the Mathematical Society of Japan, 2013 This paper is related to the Carathéodory conjecture which states that any smooth closed and convex surface in the Euclidean 3-space has at least two umbilic points. The main results of this article are the following two theorems: Theorem 3.3: Let \(S\) be a closed and convex surface of class \(C^3\) in \({\mathbb{R}}^3_1\). Then \(S\) has at least two
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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
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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.
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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
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