Almost ∗-Ricci Soliton on α-paraSasakian Manifold

It has been noted that if the ∗-Ricci tensor used to define ∗-Ricci soliton is a constant multiple of the metric tensor g(ei,ej), for all ei, ej orthogonal to characteristic vector field ξ, then the manifold is ∗-Einstein manifold. The metric associated with ∗-Einstein manifold is ∗-Einstein metric, and the ∗-Ricci soliton is its generalization. In this paper we study an almost ∗-Ricci soliton (g, W, λ) and an almost gradient ∗-Ricci soliton (g, grad (ρ), λ) by means of mathematical operators on (2m+1)-dimensional α-paraSasakian manifold S2m+1.