On the behavior at infinity of complete spacelike hypersurfaces in a Lorentzian space form
摘要
Under the assumption of suitable geometric relations between the mean curvature and the height and angle functions naturally attached to a spacelike hypersurface immersed in a Lorentzian spatial form, we establish new uniqueness results concerning these spacelike hypersurfaces. For this, we apply a maximum principle due to Alías et al (J Math Anal Appl 474:242–247, 2019) which involves a notion of convergence to zero at infinity on complete noncompact Riemannian manifolds.