In this paper, by supposing a natural comparison inequality on the positive r-th mean curvatures of the hypersurface, we obtain some new Bernstein-type theorems for complete spacelike hypersurfaces immersed in a semi-Riemannian warped product of constant sectional curvature. Generalizing the above results, under a restriction on the sectional curvature or the Ricci curvature tensor of the fiber...

We consider Einstein hypersurfaces of warped products $$I\times _\omega {\mathbb {Q}}_\epsilon ^n,$$ where $$I\subset {R}}$$ is an open interval and $${\mathbb ^n$$ the simply connected space form dimension $$n\ge 2$$ constant sectional curvature $$\epsilon \in \{-1,0,1\}$$ . show that, for all $$c\in (resp. $$c>0$$ ), there exist rotational c in {H}}^n$$ {R}}^n$$ {S}}^n$$ provided that $$\omeg...

In this paper, we have studied warped products and multiply warped product on quasi-Einstein manifold with semi-symmetric nonmetric connection. Then we have applied our results to generalized Robertson-Walker space times with a semi-symmetric non-metric connection.

A formal treatment of Killing 1-form and 2-Killing on Riemannian Poisson manifold, warped product space are presented. In this way, we obtain Bochner type results compact for 1-form. Finally, give the characterization a (R2, 1,?).

We investigate manifolds obtained as a quotient of a doubly warped product. We show that they are always covered by the product of two suitable leaves. This allows us to prove, under regularity hypothesis, that these manifolds are a doubly warped product up to a zero measure subset formed by an union of leaves. We also obtain a necessary and sufficient condition which ensures the decomposition ...

Copyright q 2010 Siraj Uddin et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We study warped product Pseudo-slant submanifolds of Sasakian manifolds. We prove a theorem for the existence of warped product submanifolds of a ...