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math.DG2015★ 5 cited
Homogeneous Ricci almost solitons
E. Calviño-Louzao, M. Fernández-López, E. García-Río +1
It is shown that a locally homogeneous proper Ricci almost soliton is either of constant sectional curvature or a product , where is a space of consta…
math.DG2014
On gradient Ricci solitons with constant scalar curvature
Manuel Fernandez-Lopez, Eduardo Garcia-Rio
We use the theory of isoparametric functions to investigate gradient Ricci solitons with constant scalar curvature. We show rigidity of gradient Ricci solitons with constant scalar…
math.DG2011
A sharp lower bound for the scalar curvature of certain steady gradient Ricci solitons
Manuel Fernandez-Lopez, Eduardo Garcia-Rio
We show that the scalar curvature of a steady gradient Ricci soliton satisfying that the ratio between the square norm of the Ricci tensor and the square of the scalar curvature is…