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 $\frac{1}{2}n(n-1)+1$ are expanding, steady and shrinking Ricci solitons and steady gradient Ricci s…