Spacelike hypersurfaces with constant Gauss-Kronecker curvature in the Minkowski space

摘要

It is well-known that the hyperbolic space H~2 (- 1) can be canonically embedded into the Minkowski space R_1~3 as the surface x_1~2 + x_2~2 - x_3~2 = -1, x_3 >0 which is a spacelike, totally umbilic surface in R_1~3.