44 citations · 60 across the 5 of their papers we have counts for
5 papers
The structure of the Ricci tensor on locally homogeneous Lorentzian gradient Ricci solitons
M. Brozos-Vázquez, E. García-Río, P. Gilkey +1
We describe the structure of the Ricci tensor on a locally homogeneous Lorentzian gradient Ricci soliton. In the non-steady case, we show the soliton is rigid in dimensions three a…
Locally conformally flat Lorentzian quasi-Einstein manifolds
M. Brozos-Vázquez, E. García-Río, S. Gavino-Fernández
We show that locally conformally flat quasi-Einstein manifolds are globally conformally equivalent to a space form or locally isometric to a -wave or a warped product.
Locally Conformally Flat Lorentzian Gradient Ricci Solitons
M. Brozos-Vázquez, E. García-Río, S. Gavino-Fernández
It is shown that locally conformally flat Lorentzian gradient Ricci solitons are locally isometric to a Robertson-Walker warped product, if the gradient of the potential function i…
Ricci Solitons on Lorentzian Manifolds with Large Isometry Groups
W. Batat, M. Brozos-Vazquez, E. Garcia-Rio +1
We show that Lorentzian manifolds whose isometry group is of dimension at least are expanding, steady and shrinking Ricci solitons and steady gradient Ricci s…
Three-dimensional Lorentzian homogeneous Ricci solitons
M. Brozos-Vazquez, G. Calvaruso, E. Garcia-Rio +1
We describe three-dimensional Lorentzian homogeneous Ricci solitons, showing that all types (i.e. shrinking, expanding and steady) exist. Moreover, all non-trivial examples have no…