Results 21 to 30 of about 174,545 (215)

Cross Curvature Solitons of Lorentzian Three-Dimensional Lie Groups

Axioms
In this paper, we study left-invariant cross curvature solitons on Lorentzian three-dimensional Lie groups and classify these solitons.
Shahroud Azami, Mehdi Jafari, Abdul Haseeb, Abdullah Ali H. Ahmadini   +3 more
doaj   +2 more sources

Lorentzian Flat Lie Groups Admitting a Timelike Left-Invariant Killing Vector Field [PDF]

, 2013
We call a connected Lie group endowed with a left-invariant Lorentzian flat metric Lorentzian flat Lie group. In this Note, we determine all Lorentzian flat Lie groups admitting a timelike left-invariant Killing vector field.
Lebzioui, Hicham
core   +5 more sources

On the causal structure of Lorentzian Lie groups

Mathematische Annalen, 1996
Let \(G\) be a Lie group equipped with a Lorentzian manifold structure, then the causality properties of this manifold are closely related to the properties of a subsemigroup \(S\) of \(G\) which is generated by a Lorentzian cone \(C\) in the Lie algebra.
D. Mittenhuber
semanticscholar   +2 more sources

Conformally Einstein Lorentzian Lie groups: extensions of the Euclidean and Poincaré groups

Classical and Quantum Gravity
We describe all Lorentzian semi-direct extensions of the Euclidean and Poincaré groups which are conformally Einstein.
E. Calviño-Louzao, E. García‐Río, I. Gutiérrez-Rodríguez, R. Vázquez-Lorenzo   +3 more
semanticscholar   +3 more sources

Harmonicity and Minimality of Vector Fields on Lorentzian Lie Groups [PDF]

Iranian Journal of Mathematical Sciences and Informatics, 2020
Yadollah AryaNejad
semanticscholar   +2 more sources

On 4-dimensional Einsteinian manifolds with parallel null distribution [PDF]

ریاضی و جامعه, 2023
In this paper, we investigate the Einsteinian manifolds with parallel null distribution. For this purpose, we first obtain the equations, which are known as Einstein's equations, that lead to finding the mentioned manifolds and then, we reduce Einstein's
Mehdi Jafari
doaj   +1 more source

On Einstein Lorentzian nilpotent Lie groups [PDF]

Journal of Pure and Applied Algebra, 2020
22 ...
Boucetta, Mohamed, Tibssirte, Oumaima
openaire   +2 more sources

Affine Ricci solitons associated to the Bott connection on three-dimensional Lorentzian Lie groups [PDF]

Turkish Journal of Mathematics, 2021
In this paper, we compute the Bott connections and their curvature on three-dimensional Lorentzian Lie groups with three different distributions, and we classify affine Ricci solitons associated to the Bott connection on three-dimensional Lorentzian Lie ...
Tong Wu, Yong Wang
semanticscholar   +1 more source

Generalized Ricci Solitons of Three-Dimensional Lorentzian Lie Groups Associated Canonical Connections and Kobayashi-Nomizu Connections

Journal of Nonlinear Mathematical Physics, 2022
In this paper, we study the affine generalized Ricci solitons on three-dimensional Lorentzian Lie groups associated canonical connections and Kobayashi-Nomizu connections and we classifying these left-invariant affine generalized Ricci solitons with some
S. Azami
semanticscholar   +1 more source

Codazzi Tensors and the Quasi-Statistical Structure Associated with Affine Connections on Three-Dimensional Lorentzian Lie Groups [PDF]

Symmetry, 2021
In this paper, we classify three-dimensional Lorentzian Lie groups on which Ricci tensors associated with Bott connections, canonical connections and Kobayashi–Nomizu connections are Codazzi tensors associated with these connections.
Tong Wu, Yong Wang
semanticscholar   +1 more source