Complete hypersurfaces immersed in a semi-Riemannian warped product
The authors investigate the uniqueness of complete hypersurfaces immersed in a semi-Riemannian warped product space of \(n\) dimensions in the case when the warping function has a convex logarithm and a fiber of constant sectional curvature. They establish that under certain conditions such a hypersurface is a slice. Contents include: Introduction; Riemannian immersions in semi-Riemannian manifolds; Semi-Riemannian warped products; Proofs of Theorems 1.1 and 1.2 and their corollaries; References (twenty-five items).
scientific article; zbMATH DE number 6013284
scientific article