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We study Ricci solitons on locally conformally flat hypersurfaces Mn in space forms M˜n+1(c) of constant sectional curvature c with potential vector field a principal curvature eigenvector of multiplicity one. We show that in Euclidean space, Mn is a hypersurface of revolution given in terms of a solution of some non-linear ODE. Hence there exists infinitely many mutually non-congruent Ricci solitons...
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