Rigidity and nonexistence of complete spacelike hypersurfaces in the steady state space

Weiller F. C. Barboza, Henrique F. de Lima, Marco Antonio L. Velásquez

We study complete spacelike hypersurfaces immersed in an open region of the de Sitter space ${\mathbb{S}}_1^{n+1}$ which is known as the steady state space ${\mathcal{H}}^{n+1}$. In…