On almost ∗-Ricci soliton
Copyright policy )On almost ∗-Ricci soliton
Abstract. In the present paper, we prove three fundamental results concerning almost ∗-Ricci soliton in the framework of para-Sasakian manifold. The paper is organised as follows:• If a para-Sasakian metric g represents an almost ∗-Ricci soliton with potential vector field V is Jacobi along Reeb vector field ξ, then g becomes a ∗-Ricci soliton.• If a para-Sasakian metric g represents an almost ∗-Ricci soliton with potential vector field V as infinitesimal paracontact transformation, then V is killing and g is η-Einstein.• If a para-Sasakian metric g represents an almost ∗-Ricci soliton with potential vector field V is collinear with the Reeb vector field ξ, then λ = 0, V is strict and g is η-Einstein.
\(\eta\)-Einstein manifold, Special Riemannian manifolds (Einstein, Sasakian, etc.), Ricci flows, General geometric structures on manifolds (almost complex, almost product structures, etc.), para-Sasakian manifold, Methods of global Riemannian geometry, including PDE methods; curvature restrictions, Almost contact and almost symplectic manifolds, Ricci soliton, infinitesimal paracontact transformation
\(\eta\)-Einstein manifold, Special Riemannian manifolds (Einstein, Sasakian, etc.), Ricci flows, General geometric structures on manifolds (almost complex, almost product structures, etc.), para-Sasakian manifold, Methods of global Riemannian geometry, including PDE methods; curvature restrictions, Almost contact and almost symplectic manifolds, Ricci soliton, infinitesimal paracontact transformation
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