Ricci solitons in almost $f$-cosymplectic manifolds
Copyright policy )Ricci solitons in almost $f$-cosymplectic manifolds
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 $(��,��)$-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 dimesional almost $f$-cosymplectic is a cosymplectic manifold. Finally we classify a three dimensional $��$-Einstein almost $f$-cosymplectic manifold admitting a Ricci soliton.
We correct the Theorem 1.1 and its proof
Mathematics - Differential Geometry, almost cosymplectic manifold, 53C21, Symplectic manifolds (general theory), Methods of global Riemannian geometry, including PDE methods; curvature restrictions, almost $f$-cosymplectic manifold, $(\kappa,\mu)$-manifold, 53C25, 53D15, Special Riemannian manifolds (Einstein, Sasakian, etc.), Differential Geometry (math.DG), Einstein manifold, FOS: Mathematics, \((\kappa,\mu)\)-manifold, almost \(f\)-cosymplectic manifold, Ricci soliton
Mathematics - Differential Geometry, almost cosymplectic manifold, 53C21, Symplectic manifolds (general theory), Methods of global Riemannian geometry, including PDE methods; curvature restrictions, almost $f$-cosymplectic manifold, $(\kappa,\mu)$-manifold, 53C25, 53D15, Special Riemannian manifolds (Einstein, Sasakian, etc.), Differential Geometry (math.DG), Einstein manifold, FOS: Mathematics, \((\kappa,\mu)\)-manifold, almost \(f\)-cosymplectic manifold, Ricci soliton
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).9 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!