https://neckpinch.com/authors/tiberio-martins/New arXiv papers by Tiberio Martins, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/2004.05053/arxiv:2004.05053Fri, 10 Apr 2020 00:00:00 GMTMarcio de Sousa, Paula Bonfim, Romildo Pina, Tiberio Martins — We study gradient Ricci solitons warped products whose base is the Euclidean space. We show that the warping functions of these manifolds are invariant under the (n-1)-dimensional translation group. We characterize the potential function when the torsion function depends only on one variable, which is a particular case of invariance by translation. From this study, we derive complete examples of expanding gradient Ricci solitons.Ricci solitonsRotational symmetry & warped products