Results 21 to 30 of about 3,483 (284)

Pseudo-Riemannian Lie groups admitting left-invariant conformal vector fields [PDF]

Comptes Rendus. Mathématique, 2020
Let $G$ be a Lorentzian Lie group or a pseudo-Riemannian Lie group of type $(n-2,2)$. If $G$ admits a non-Killing left-invariant conformal vector field, then $G$ is solvable.
Zhang, Hui, Chen, Zhiqi
doaj   +2 more sources

Characterizations of Spheres and Euclidean Spaces by Conformal Vector Fields

Mathematics
A nontrivial conformal vector field ω on an m-dimensional connected Riemannian manifold Mm,g has naturally associated with it the conformal potential θ, a smooth function on Mm, and a skew-symmetric tensor T of type (1,1) called the associated tensor ...
Sharief Deshmukh, Nasser Bin Turki, Ramesh Sharma   +2 more
doaj   +2 more sources

Projective Vector Fields on Semi-Riemannian Manifolds

Mathematics
This paper explores the properties of projective vector fields on semi-Riemannian manifolds. The main result establishes that if a projective vector field P on such a manifold is also a conformal vector field with potential function ψ and the vector ...
Norah Alshehri, Mohammed Guediri
doaj   +2 more sources

On $g$-natural conformal vector fields on unit tangent bundles [PDF]

, 2021
summary:We study conformal and Killing vector fields on the unit tangent bundle, over a Riemannian manifold, equipped with an arbitrary pseudo-Riemannian $g$-natural metric.
Amri, Noura, Abbassi, Mohamed Tahar Kadaoui   +1 more
core   +1 more source

On the Geometry of Orbits of Conformal Vector Fields

Journal of Geometry and Symmetry in Physics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Narmanov, Abdigappar, Rajabov, Eldor
openaire   +3 more sources

Conformal Symmetries of the Strumia–Tetradis’ Metric

Physical Sciences Forum, 2023
In a recent paper, a new conformally flat metric was introduced, describing an expanding scalar field in a spherically symmetric geometry. The spacetime can be interpreted as a Schwarzschild-like model with an apparent horizon surrounding the curvature ...
Pantelis S. Apostolopoulos, Christos Tsipogiannis   +1 more
doaj   +1 more source

A classification of Bianchi Type I solutions via conformal vector fields and energy conditions in modified teleparallel gravity

Results in Physics, 2023
The focus of this research is to investigate conformal vector fields (CVFs) of Bianchi type I space–times in modified teleparallel gravity (MTG). In order to determine such vector fields, we make a classification of said space–times.
Shabeela Malik, Fiaz Hussain, Taotao Sui, Arshad Ali, Sirajul Haq, Muhammad Ramzan   +5 more
doaj   +1 more source

CONFORMAL VECTOR FIELDS AND TOTALLY UMBILIC HYPERSURFACES [PDF]

Bulletin of the Korean Mathematical Society, 2002
Let \((M^n,g)\), \(n\geq 2\), be a connected semi-Riemannian hypersurface of a semi-Riemannian space form \((\overline{M}_k^{n+1}(\overline{c}),\overline{g})\) of signature \(k\). Assume that the ambient manifold carries a conformal vector field \(V\) such that the tangential part \((V|M^n)^T\) becomes a conformal vector field on the hypersurface. Then
Kim, Dong-Soo, Kim, Seon-Bu, Kim, Young Ho, Park, Seong-Hee   +3 more
openaire   +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

Generalized Minkowski Type Integral Formulas for Compact Hypersurfaces in Pseudo-Riemannian Manifolds

Mathematics, 2023
We obtain some generalized Minkowski type integral formulas for compact Riemannian (resp., spacelike) hypersurfaces in Riemannian (resp., Lorentzian) manifolds in the presence of an arbitrary vector field that we assume to be timelike in the case where ...
Norah Alessa, Mohammed Guediri
doaj   +1 more source