  We prove existence results for entire graphical translators of the mean
curvature flow (the so-called bowl solitons) on Cartan-Hadamard manifolds. We
show that the asymptotic behaviour of entire solitons depends heavily on the
curvature of the manifold, and that there exist also bounded solutions if the
curvature goes to minus infinity fast enough. Moreover, it is even possible to
solve the asymptotic Dirichlet problem under certain conditions.
