Riemannian domains and complete spacelike hypersurfaces with one end in steady state type spacetimes (Q6654938)

In the steady state space \(-\mathbb{R}\times_{e^t} M\), the authors investigate spacelike hypersurfaces that satisfy a linear Weingarten relation between its higher order mean curvatures. Assuming that the Riemannian fiber \(M\) has nonnegative constant sectional, some characterizations on Riemannian domains are obtained. Also characterizations of slices are obtained as complete linear Weingarten spacelike hypersurfaces with one end.