On the geometry of locally conformally almost cosymplectic manifolds.

We obtain the complete group of structure equations of a locally conformally almost cosymplectic structure (an lc $$ ACy $$-structure in what follows) and compute the components of the Riemannian curvature tensor on the space of the associated G-structure. Normal lc $$ ACy $$-structures are studied in more detail. In particular, we prove that the contact analogs of A. Gray’s second and third curvature identities hold on normal lc $$ ACy $$-manifolds, while the contact analog of A. Gray’s first identity holds if and only if the manifold is cosymplectic. [ABSTRACT FROM AUTHOR]