haytham_ali

Haytham Ashraf Abdelaal Ali

Teadching-Assistant -

Faculty of science

Address: Sohag, Egypt

39

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SOME PROPERTIES OF SPECIAL MAGNETIC CURVES

2018 | Keywords Frenet frame, Spherical indicatrix, Magnetic curve, Lorentz force, killing magnetic field,
SOME PROPERTIES OF SPECIAL MAGNETIC CURVES
In the theory of curves, a magnetic field generates a magnetic flow whose trajectories are curves called magnetic curves. This paper aims at studying some properties for these curves which corresponding to the Killing magnetic fields in the 3-dimensional Euclidean space. We investigate the trajectories of the magnetic fields called T-magnetic and e-magnetic curves, also we give some characterizations of ... Read more

Inextensible flows of curves in three-dimensional light cone

| Keywords Minkowski space, Inextensible flow, Frenet frame, Spacelike and null curves,
Inextensible flows of curves in three-dimensional light cone
In this paper, we study inextensible flows of spacelike and lightlike (null) curves in 3- dimensional light cone Q3 of Minkowiski 4-space E4 1 . We introduce the necessary and sufficient conditions for inextensible flows of these curves which can be expressed as partial differential equations involving the curvatures. Read more

Affine Factorable Surfaces in Pseudo-Galilean Space

| Keywords minimal surface, Gaussian curvature, Affine factorable surface, mean curvature,
Affine Factorable Surfaces in Pseudo-Galilean Space
An affine factorable surface of the second kind in the three dimensional pseudo-Galilean space G13 is studied depending on the invariant theory and theory of differential equation. The rst and second fundamental forms, Gaussian curvature and mean curvature of the meant surface are obtained according to the basic principles of differential geometry. Also, some special cases are presented by changing ... Read more

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