Abstract
In this paper, we study gradient Einstein-type structure immersed into a Riemannian warped product manifold. We obtain some triviality results for the potential function and smooth map u. We investigate conditions for a gradient Einstein-type structure to be totally umbilical, or totally geodesic immersed into a warped product I×fMn. Furthermore, we study rotational hypersurface into R×fRn has a gradient Einstein-type structure.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have