https://neckpinch.com/authors/a-diatta/New arXiv papers by A. Diatta, from Neckpinch Tue, 03 Nov 2026 08:37:45 GMT https://neckpinch.com/papers/2508.10217/arxiv:2508.10217Wed, 13 Aug 2025 00:00:00 GMTA. Diatta, M. Ciss, A. S. Diallo — 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.Ricci solitonsEinstein metrics3-manifoldsPhysics