https://hdl.handle.net/10481/29856 2026-04-13T09:36:44Z https://hdl.handle.net/10481/69975 Notes on Translating Solitons in Semi-Riemannian Manifolds Kocakusakli, Erdem; Ortega Titos, Miguel This is a summary of some works related to Translating Solitons in Semi-Riemannian Manifolds. We review known facts in Euclidean and Lorentz Spaces, and then introduce them in Semi-Riemannian Products. When they are graphs, we obtain the necessary PDE. In addition, if we consider the action of a Lie group by isometries, we reduce the PDE to an ODE. We focus on studying this ODE in an abstract way, from existence to extensions of solutions. Finally, we give some examples.