Some important properties of invariant submanifolds of an almost alpha-cosymplectic (k, mu, nu )-space

The object of the paper is to investigate invariant submanifolds of an almost alpha-cosymplectic (k, mu, nu )-space. Then we have proved that the necessary and sufficient conditions for an invariant submanifold of an almost alpha-cosymplectic (k, mu, nu )-space to be totally geodesic under the some conditions. Consequently, we have obtained some interesting results invariant submanifolds of an almost alpha-cosymplectic (k, mu, nu )-space.