Extending Translating Solitons in Semi-Riemannian Manifolds

In this paper, we recall some general properties and theorems about Translating Solitons in Semi Riemannian Manifolds. Moreover, we investigate those which are invariant by the action of a Lie group of isometries of the ambient space, by paying attention to the behavior close to the singular orbit (if any) and at infinity. Then, we provide some related examples.