• Corpus ID: 246210474

The physical approach on the surfaces of rotation in $E_{2}^{4}$

  title={The physical approach on the surfaces of rotation in \$E\_\{2\}^\{4\}\$},
  author={Fatma Almaz},
In this paper, some physical expressions as the specific energy and the specific angular momentum on these surfaces of rotation are investigated using conditions being geodesic on rotational surfaces with the help of Clairaut’s theorem. 


The Clairaut's theorem on rotational surfaces in pseudo Euclidean 4-space with index 2
In this paper, Clairaut’s theorem is expressed on the surfaces of rotation in semi Euclidean 4-space. Moreover, the general equations of time-like geodesic curves are characterized according to the
The Research on Rotational Surfaces in pseudo Euclidean 4-space with index 2
Abstract. In this study, we define a brief description of the hyperbolic and elliptic rotational surfaces using a curve and matrices in 4-dimensional semiEuclidean space. That is, we provide
On x-magnetic Surfaces Generated by Trajectory of x-magnetic Curves in Null Cone
In this work, we examine the impact of magnetic fields on the moving particle trajectories by variational approach to the magnetic flow associated with the Killing magnetic field on 2−dimensional
Flat double rotational surfaces in Euclidean and Lorentz-Minkowski 4-space
Abstract. A new type of surfaces in 4-dimensional Euclidean and Lorentz– Minkowski space is constructed by performing two simultaneous rotations on a planar curve. In analogy with rotational
A Survey on Tube Surfaces in Galilean 3-Space
In this study, the tube surfaces generated by the curve defined in Galilean 3-space are examined and some certain results of describing the geodesics on the surfaces are also given. Furthermore, the
General rotational surfaces in the 4-dimensional Minkowski space
General rotational surfaces as a source of examples of surfaces in the 4-dimensional Euclidean space were introduced by C. Moore. In this paper we consider the analogue of these surfaces in the
The notes on rotational surfaces in Galilean space
In this study, we provide a brief description of rotational surfaces in 4-dimensional (4D) Galilean space using a curve and matrices in [Formula: see text]. That is, we provide different types of
Some issues of displaying two-dimensional surfaces in four-dimensional (4D) space are discussed, including the behavior of surface normals under projection, the silhouette points due to the projection, and methods for object orientation and projection center specification.
A simple non-Euclidean geometry and its physical basis
There are many technical and popular accounts, both in Russian and in other languages, of the non-Euclidean geometry of Lobachevsky and Bolyai, a few of which are listed in the Bibliography. This
Topics in Modern Physics: Theoretical Foundations
Quantum Mechanics: Solutions to the Schrodinger Equation Formal Developments Applications of Quantum Mechanics: Approximation Methods for Bound States Scattering Theory Time-Dependent Perturbation