Some results on a-cosympletic manifolds

Abstract

In this paper, we deal with some geometric properties of an -cosymplectic manifold. First, we give some classi cations for an alpha-cosymplectic manifold endowed with some special vector elds such as projective, concircular and torse-forming. Then, we study alpha-cosymplectic manifold admitting eta-Ricci solitons with projective, a ne conformal vector elds. Finally, we obtain some haracterizations for such a manifold to be Einstein, eta-Einstein, cosymplectic.