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

• Autores: Henrique F. de Lima, F.R. dos Santos, José N. Gomes, Marco A. L. Velásquez
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 67, Fasc. 3, 2016, págs. 379-397
• Idioma: inglés
• DOI: 10.1007/s13348-015-0145-z
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• Resumen

  • 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.