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Resumen de On the complete spacelike hypersurfaces immersed with two distinct principal curvatures in a locally symmetric Lorentz space

Henrique F. de Lima, F.R. dos Santos, José N. Gomes, Marco A. L. Velásquez

  • Our purpose in this paper is to study the geometry of complete linear Weingarten spacelike hypersurfaces immersed with two distinct principal curvatures in a locally symmetric Lorentz space, which is supposed to obey standard curvature constrains. In this setting, we apply some appropriated generalized maximum principles to a suitable Cheng-Yau modified operator in order to guarantee that such a spacelike hypersurface must be isometric to an isoparametric hypersurface of the ambient space.


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