Abstract: We prove that, in the 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, if M is not strictly convex, after an R^{n,1} rigid motion, M splits as a product $M^{n−1}\times R.$ We also construct nontrivial examples of strictly convex, spacelike hypersurfaces M with constant $\sigma_k$ curvature and bounded principal curvatures. This is a joint work with Changyu Ren and Zhizhang Wang.
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https://us02web.zoom.us/j/88362190680?pwd=QmxxbUFETmJzM2pJVkFQUzlSS0s1Zz09
Conference Number：883 6219 0680
Password：118143
