Some results on α-cosympletic manifolds
Keywords:α-Cosymplectic Manifold, η -Ricci Soliton, Projective Vector Field, Affine Conformal Vector Field, Torse-forming vector Field
AbstractIn 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.