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math.DG2012
Compact almost Ricci solitons with constant scalar curvature are gradient
Abdênago Barros, Rondinelle Batista, Ernani Ribeiro
The aim of this note is to prove that any compact non-trivial almost Ricci soliton with constant scalar curvature is isometric to a Euclidean sphere $\B…
math.DG2012
Characterizations and integral formulae for generalized quasi-Einstein metrics
Abdênago Barros, Ernani Ribeiro
The aim of this paper is to present some structural equations for generalized quasi-Einstein metrics which was defined recently by Catino in [12]. In addition, supposing that the R…