Entire spacelike hypersurfaces with constant ${\sigma }_{n-1}$ curvature in Minkowski space

Changyu Ren, Zhizhang Wang, Ling Xiao

We prove that, in Minkowski space, if a spacelike, $(n-1)$-convex hypersurface $M$ with constant ${\sigma }_{n-1}$ curvature has bounded principal curvatures, then $M$ is convex. Moreover,…