2025/08/13 by Diatta, A., Ciss, M., Diallo, A. S.
#Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.2508.10217
A Ricci soliton is a natural generalization of an Einstein metric. On a pseudo-Riemannian manifold (M, g), it is defined by : LX g + \rho = λ g, where X is a smooth vector field on M , LX denotes the Lie derivative in the direction of X, \rho is the Ricci tensor, and λ is a real constant. In this paper, we establish the existence of non-trivial Ricci solitons on a family of three-dimensional Lorentzian Walker manifolds.