Geodesic
On the quadric CMC spacelike hypersurfaces in Lorentzian space forms
Cícero P. Aquino1 ; Henrique F. de Lima2 ; Fábio R. dos Santos2
1 Departamento de Matemática Universidade Federal do Piauí 64.049-550 Teresina, Piauí, Brazil
2 Departamento de Matemática Universidade Federal de Campina Grande 58.429-970 Campina Grande, Paraíba, Brazil
Colloquium Mathematicum, Tome 145 (2016) no. 1, pp. 89-98

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/cm6442-10-2015
Keywords: complete spacelike hypersurfaces immersed constant mean curvature lorentzian space form under assumption support functions respect fixed nonzero vector linearly related prove hypersurface either totally umbilical isometric hyperbolic cylinder ambient space

Cícero P. Aquino 1 ; Henrique F. de Lima 2 ; Fábio R. dos Santos 2

1 Departamento de Matemática Universidade Federal do Piauí 64.049-550 Teresina, Piauí, Brazil
2 Departamento de Matemática Universidade Federal de Campina Grande 58.429-970 Campina Grande, Paraíba, Brazil 
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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 Mathematicum, Tome 145 (2016) no. 1, pp. 89-98. doi: 10.4064/cm6442-10-2015

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