Results 1 to 10 of about 2,965,710 (272)

Killing and 2-Killing Vector Fields on Doubly Warped Products

Mathematics, 2023
We provide a condition for a 2-Killing vector field on a compact Riemannian manifold to be Killing and apply the result to doubly warped product manifolds.
Adara M. Blaga, Cihan Özgür
doaj   +5 more sources

On Killing Vector Fields on Riemannian Manifolds [PDF]

Mathematics, 2021
We study the influence of a unit Killing vector field on geometry of Riemannian manifolds. For given a unit Killing vector field w on a connected Riemannian manifold (M,g) we show that for each non-constant smooth function f∈C∞(M) there exists a non-zero
Sharief Deshmukh, Olga Belova
doaj   +4 more sources

Killing vector fields of locally rotationally symmetric Bianchi type V spacetime [PDF]

Scientific Reports
The classification of locally rotationally symmetric Bianchi type V spacetime based on its killing vector fields is presented in this paper using an algebraic method.
Shakeel Ahmad, Tahir Hussain, Abdul Baseer Saqib, Muhammad Farhan, Muhammad Farooq   +4 more
doaj   +2 more sources

On Jacobi-Type Vector Fields on Riemannian Manifolds

Mathematics, 2019
In this article, we study Jacobi-type vector fields on Riemannian manifolds. A Killing vector field is a Jacobi-type vector field while the converse is not true, leading to a natural question of finding conditions under which a Jacobi-type vector field ...
Bang-Yen Chen, Sharief Deshmukh, Amira A. Ishan   +2 more
doaj   +2 more sources

Primordial Magnetogenesis from Killing Vector Fields

Universe
Papapetrou showed that the covariant derivative of a Killing vector field satisfies Maxwell’s equations in vacuum. Papapetrou’s result is extended, in this article, and it is shown that the covariant derivative of a Killing vector field satisfies Maxwell’
Nagabhushana Prabhu
doaj   +3 more sources

Geometric properties of almost pure metric plastic pseudo-Riemannian manifolds [PDF]

Heliyon
This paper investigates the geometric and structural properties of almost plastic pseudo-Riemannian manifolds, with a specific focus on three-dimensional cases.
Cagri Karaman, Aydin Gezer, Mohammad Nazrul Islam Khan, Sedanur Ucan   +3 more
doaj   +2 more sources

Geometry of foliations of Minkowski spaces [PDF]

E3S Web of Conferences, 2023
As is well known, foliations of constant curvature and foliations generated by the orbits of Killing vector fields are important classes of foliations from a geometric point of view.
Artykbaev A., Narmanov A. Ya., Ismoilov Sh. Sh.   +2 more
doaj   +1 more source

Symmetries of locally rotationally symmetric Bianchi type V spacetime

Results in Physics, 2023
In this paper, we classify the metric of locally rotationally symmetric Bianchi type V spacetime through its symmetries, including Killing, homothetic and conformal vector fields.
Jamshed Khan, Tahir Hussain, Nabil Mlaiki, Nahid Fatima   +3 more
doaj   +1 more source

Conformal and Disformal Structure of 3D Circularly Symmetric Static Metric in f(R) Theory of Gravity

Mehran University Research Journal of Engineering and Technology, 2020
conformal vector fields are treated as generalization of homothetic vector fields while disformal vector fields are defined through disformal transformations which are generalization of conformal transformations, therefore it is important to study ...
Muhammad Ramzan, Murtaza Ali, Fiaz Hussain   +2 more
doaj   +1 more source

On Magnetic Curves According to Killing Vector Fields in Euclidean 3-Space

International Journal of Analysis and Applications, 2022
In the geometric theory of space curves, a magnetic field generates magnetic flow. The trajectories of magnetic flow are called magnetic curves. In the present paper, we obtain magnetic curves corresponding to killing magnetic fields in Euclidean 3-space
M. Khalifa Saad, H. S. Abdel-Aziz, Haytham A. Ali   +2 more
doaj   +1 more source