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. 2021-07-29T10:20:39Z 2021-07-29T10:20:39Z 2017 info:eu-repo/semantics/bookPart Kocakusakli, E., & Sánchez, M. O. (2017). Notes on translating solitons in Semi-Riemannian manifolds. In Differential geometry in Lorentz-Minkowski space: Proceedings of the Young Researcher Workshop on Differential Geometry in Minkowski Space, Granada, Spain, April 17-20, 2017 (pp. 61-70). Universidad de Granada. 9788433861320 http://hdl.handle.net/10481/69975 eng info:eu-repo/semantics/openAccess Universidad de Granada