On the quadric CMC spacelike hypersurfaces in Lorentzian space forms

• Autorzy: Cícero P. Aquino , Henrique F. de Lima , Fábio R. dos Santos
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 53B30: Lorentz metrics, indefinite metrics
• 53C42: Immersions (minimal, prescribed curvature, tight, etc.)
• 53C50: Lorentz manifolds, manifolds with indefinite metrics
• 83C99: None of the above, but in this section
• 53Z05: Applications to physics

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2016
• Tom: 145
• Numer: 1
• Strony: 89-98

Daty

wydano

2016

Twórcy

autor

Cícero P. Aquino

• Departamento de Matemática, Universidade Federal do Piauí, 64.049-550 Teresina, Piauí, Brazil

autor

Henrique F. de Lima

• Departamento de Matemática, Universidade Federal de Campina Grande, 58.429-970 Campina Grande, Paraíba, Brazil

autor

Fábio R. dos Santos

• Departamento de Matemática, Universidade Federal de Campina Grande, 58.429-970 Campina Grande, Paraíba, Brazil

Identyfikatory

DOI

10.4064/cm6442-10-2015