ROTATION HYPERSURFACES IN LORENTZ-MINKOWSKI SPACE WITH CONSTANT MEAN CURVATURE

We give explicit parameterizations of rotation hypersurfaces in Lorentz-Minkowski space Ln+1. Then we obtain rotation hypersurfaces in Lorentz-Minkowski space Ln+1 with constant mean curvature. In particular, we determine nonplanar rotation hypersurfaces with zero mean curvature, namely, generalized catenoids of Ln+1. In the case the rotation axis is lightlike, the generalized catenoids generalize Enneper's surfaces of the 2nd and 3rd kind.