Abstract
In this article we study an almost $f$-cosymplectic manifold admitting a Ricci soliton. We first prove that there do not exist Ricci solitons on an almost cosymplectic $(\kappa,\mu)$-manifold. Further, we consider an almost $f$-cosymplectic manifold admitting a Ricci soliton whose potential vector field is the Reeb vector field and show that a three dimensional almost $f$-cosymplectic is a cosymplectic manifold. Finally we classify a three dimensional $\eta$-Einstein almost $f$-cosymplectic manifold admitting a Ricci soliton..
Citation
Xiaomin Chen. "Ricci solitons in almost $f$-cosymplectic manifolds." Bull. Belg. Math. Soc. Simon Stevin 25 (2) 305 - 319, june 2018. https://doi.org/10.36045/bbms/1530065014
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