∗-CONFORMAL RICCI SOLITON ON α-COSYMPLECTIC MANIFOLDS

In this paper we consider alpha-cosymplectic manifold admitting *conformal Ricci soliton. We prove that if a alpha-cosymplectic manifold admitting*conformal Ricci soliton is Ricci pseudo-symmetric then it becomes a cosymplectic manifold. We also prove that if a alpha-cosymplectic manifold admitting*conformal Ricci soliton satisfies S.C = 0 then it reduces to a cosymplectic manifold. Moreover it is proven that if a alpha-cosymplectic manifold admitting*conformal Ricci soliton satisfies R(xi, W).C = 0, then the manifold is Einstein.