Translating solutions and the entire Hessian curvature flow in Minkowski
space
Translating solutions and the entire Hessian curvature flow in Minkowski
space
In this paper, we study the $k$-Hessian curvature flow of noncompact spacelike hypersurfaces in Minkowski space. We first prove the existence of translating solutions with given asymptotic behavior. Then, we prove that for strictly convex initial hypersurface satisfying certain conditions, the curvature flow exists for all time, and the normalized …