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On the quadric CMC spacelike hypersurfaces in Lorentzian space forms

Tom 145 / 2016

Cícero P. Aquino, Henrique F. de Lima, Fábio R. dos Santos Colloquium Mathematicum 145 (2016), 89-98 MSC: Primary 53C42; Secondary 53B30, 53C50, 53Z05, 83C99. DOI: 10.4064/cm6442-10-2015 Opublikowany online: 22 April 2016

Streszczenie

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.

Autorzy

  • Cícero P. AquinoDepartamento de Matemática
    Universidade Federal do Piauí
    64.049-550 Teresina, Piauí, Brazil
    e-mail
  • Henrique F. de LimaDepartamento de Matemática
    Universidade Federal de Campina Grande
    58.429-970 Campina Grande, Paraíba, Brazil
    e-mail
  • Fábio R. dos SantosDepartamento de Matemática
    Universidade Federal de Campina Grande
    58.429-970 Campina Grande, Paraíba, Brazil
    e-mail

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