Results 1 to 10 of about 2,793,586 (269)

Harmonic-Killing vector fields

Bulletin of the Belgian Mathematical Society - Simon Stevin, 2002
The authors introduce the notion of 1-harmonic-Killing (1-h-K) vector fields, i.e., vector fields whose corresponding 1-parameter group of local transformations consists of maps which have vanishing linear part of their tension field. It is shown that a vector field is a Jacobi field along the identity map if and only if it is a 1-h-K vector field ...
Dodson, C. T. J., Trinidad Pérez, M., Vázquez-Abal, M. E.   +2 more
exaly   +16 more sources

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

Zermelo deformation of finsler metrics by killing vector fields [PDF]

Electronic Research Announcements in Mathematical Sciences, 2018
We show how geodesics, Jacobi vector fields and flag curvature of a Finsler metric behave under Zermelo deformation with respect to a Killing vector field. We also show that Zermelo deformation with respect to a Killing vector field of a locally symmetric Finsler metric is also locally symmetric.
Vladimir Matveev
exaly   +6 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 the Geometry of the Orbits of Killing Vector Fields

Lecture Notes in Networks and Systems, 2023
6 ...
A Ya Narmanov
exaly   +3 more sources

Killing spinors are killing vector fields in Riemannian supergeometry [PDF]

Journal of Geometry and Physics, 1998
14 pages, latex, one typo ...
Alekseevsky, D., Cortés, V., Devchand, C., Semmelmann, U.   +3 more
openaire   +6 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