Tachibana operator Applied to Invariant submanifolds of Lorentzian trans-Sasakian manifolds

In the present paper, Tachibana operatory is applied to an invariant submanifold of a lorentzian trans-Sasakian manifold by means of through various tensors and the results obtained are discussed in terms of geometry. Finally, we give a non-trivial example in order to our results illustrate.