Title of article :
Generalized Lorentzian Ricci solitons on 3-dimensional Lie groups associated to the Bott Connection
Author/Authors :
Fasihi Ramandi ، Ghodratallah Department of Pure Mathematics - Faculty of Science - Imam Khomeini International University , Azami ، Shahroud Department of Pure Mathematics - Faculty of Science - Imam Khomeini International University , Pirhadi ، Vahid Department of Pure Mathematics - Faculty of mathematics - University of Kashan
Abstract :
In this paper, we investigate which one of the non-isometric left-invariant Lorentz metrics g on 3-dimensional Lie groups satisfies the generalized Ricci soliton equation aRicB[g] + b 2 LB Xg + cX♭ ⊗ X♭ = λg associated to the Bott connection ∇B, here X is a vector field and λ, a, b, c are real constants such that c ̸= 0. A complete classification of this structure on 3-dimensional Lorentzian Lie groups will be presented.
Keywords :
Left , invariant Lorentz metric , Generalized Ricci soliton , Pseudo , Riemannian metric , Lie group
Journal title :
AUT Journal of Mathematics and Computing
Journal title :
AUT Journal of Mathematics and Computing
