Abstract
We give explicit parameterizations of rotation hypersurfaces in Lorentz-Minkowski space $L^{n+1}$. Then we obtain rotation hypersurfaces in Lorentz-Minkowski space $L^{n+1}$ with constant mean curvature. In particular, we determine nonplanar rotation hypersurfaces with zero mean curvature, namely, generalized catenoids of $L^{n+1}$. In the case the rotation axis is light-like, the generalized catenoids generalize Enneper's surfaces of the 2nd and 3rd kind.
Citation
Ugur Dursun. "ROTATION HYPERSURFACES IN LORENTZ-MINKOWSKI SPACE WITH CONSTANT MEAN CURVATURE." Taiwanese J. Math. 14 (2) 685 - 705, 2010. https://doi.org/10.11650/twjm/1500405814
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