Translating Solitons Over Cartan–Hadamard Manifolds
Translating Solitons Over Cartan–Hadamard Manifolds
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 …