On the quadric CMC spacelike hypersurfaces in Lorentzian space forms
Cícero P. Aquino ; Henrique F. de Lima ; Fábio R. dos Santos
Colloquium Mathematicae, Tome 144 (2016), p. 89-98 / Harvested from The Polish Digital Mathematics Library
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We deal with complete spacelike hypersurfaces immersed with constant mean curvature in a Lorentzian space form. Under the assumption that the support functions with respect to a fixed nonzero vector are linearly related, we prove that such a hypersurface must be either totally umbilical or isometric to a hyperbolic cylinder of the ambient space.

Publié le : 2016-01-01
EUDML-ID : urn:eudml:doc:286616 
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Cícero P. Aquino; Henrique F. de Lima; Fábio R. dos Santos. On the quadric CMC spacelike hypersurfaces in Lorentzian space forms. Colloquium Mathematicae, Tome 144 (2016) pp. 89-98. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm6442-10-2015/