Translating surfaces of the non-parametric mean curvature flow in Lorentz manifold
In this paper, for the Lorentz manifold , with a -dimensional complete surface with nonnegative Gaussian curvature, we investigate its space-like graphs over compact strictly convex domains in , which are evolving by the non-parametric mean curvature flow with prescribed contact angle boundary condition, and show that solutions converge to ones moving only by translation.