Some results on α-cosympletic manifolds

Abstract

In this paper, we deal with some geometric properties of an α-cosymplectic manifold. First, we give some classi_cations for an α-cosymplectic manifold endowed with some special vector fields such as projective, concircular, and torse-forming. Then, we study α-cosymplectic manifold admitting η-Ricci solitons with projective, a_ne conformal vector fields. Finally, we obtain some characterizations for such a manifold to be Einstein, η-Einstein, cosymplectic.