https://neckpinch.com/authors/stylianos-dimas/New arXiv papers by Stylianos Dimas, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2212.13630/arxiv:2212.13630Tue, 27 Dec 2022 00:00:00 GMTEnrique López, Stylianos Dimas, Yuri Bozhkov — In the present work we find the Lie point symmetries of the Ricci flow on an n-dimensional manifold. and we introduce a method in order to reutilize these symmetries to obtain the Lie point symmetries of particular metrics. We apply this method to retrieve the Lie point symmetries of the Einstein equations – seen as a "static" Ricci flow – , and of some particular types of metrics of interest, such as, on warped products of manifolds. Finally, we use the symmetries found to obtain invariant solutions of the Ricci flow for the particular families of metrics considered.Ricci flowRotational symmetry & warped products