Translating Solitons in a Lorentzian Setting, Submersions and Cohomogeneity One Actions Ortega Titos, Miguel Lawn, Marie-Amélie Time-like translating soliton submersions pseudo-Riemannian manifolds Lie group cohomogeneity one action We study new examples of translating solitons of the mean curvature flow, especially in Minkowski space. We consider for this purpose manifolds admitting submersions and cohomegeneity one actions by isometries on suitable open subsets. This general setting also covers the classical Euclidean examples. As an application, we completely classify time-like, invariant translating solitons by rotations and boosts in Minkowski space. 2022-03-30T08:07:37Z 2022-03-30T08:07:37Z 2022-03-27 info:eu-repo/semantics/article Ortega Titos, M., Lawn, M. A. Translating Solitons in a Lorentzian Setting, Submersions and Cohomogeneity One Actions. Mediterr. J. Math. (2022) 19:102 http://hdl.handle.net/10481/73933 10.1007/s00009-022-02020-7 eng http://creativecommons.org/licenses/by-nc/3.0/es/ info:eu-repo/semantics/openAccess Atribución-NoComercial 3.0 España