首页|Gradient Einstein-type structures immersed into a Riemannian warped product
Gradient Einstein-type structures immersed into a Riemannian warped product
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NSTL
Elsevier
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 x f Mn. Furthermore, we study rotational hypersurface into R x f Rn has a gradient Einstein-type structure. (c) 2022 Elsevier B.V. All rights reserved.
Einstein -typeTotally umbilical hypersurfacesWarped productRotational classificationRICCI SOLITONSRIGIDITY
NSTL
Elsevier
