JP Journal of Geometry and Topology
Volume 18, Issue 2, Pages 117 - 131
(November 2015)
http://dx.doi.org/10.17654/JPGTNov2015_117_131 |
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GEOMETRY OF THE RICCI SOLITON HYPERSURFACES
Hana Alsodais and Haila Alodan
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Abstract:
In this paper, we investigate the geometry of the Ricci soliton hypersurface  in a Euclidean space. We find sufficient conditions first for this Ricci soliton hypersurface to be totally geodesic and to be isometric to a sphere. We also study two special cases, when the mean curvature is a constant and when the scalar curvature is a constant. |
| Keywords and phrases: Ricci soliton, hypersurfaces, Euclidean spaces, Ricci operator, scalar curvature. |
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