Some important notes on an almost α-cosymplectic (k, µ, ν)-manifolds

The current work looks at certain geometric requirements that must be satisfied for an invariant submanifold of an almost α- cosymplectic (k, µ, ν)-manifolds to be totally geodesic. Consequently, we obtain some interesting results invariant submanifolds of an almost cosymplectic (k, µ, ν)-manifolds. Additionally, we give an example on 5-dimensional case.