Abstract
The object of this paper is to study *-conformal eta-Ricci solitons on alpha-Cosymplectic manifolds. First, alpha-cosymplectic manifolds admitting *-conformal eta-Ricci solitons satisfying the conditions R(xi,.) . S and S(xi,.) . R = 0 are being studied. Further, alpha-cosymplectic manifolds admitting *-conformal eta-Ricci solitons satisfying certain conditions on the M projective curvature tensor are being considered and obtained several interesting results. Among others it is proved that a phi - M - projeectively semisym-metric alpha-cosymplectic manifold admitting *-conformal eta-Ricci soliton is an Einstein manifold. Finally, the existence of *-conformal eta-Ricci soliton in an alpha-cosymplectic manifolds has been proved by a concrete example.