OnV-Killing forms in a locally conformal Kähler manifold with the parallel lee form

Summary We shall introduce a 1-form which is called V-Killing form in a locally conformal K?hler manifold with the parallel Lee form and prove that this form has similar properties of C-Killing form in a Sasakian manifold. We obtain that a V-harmonic form is invariant by a V-Killing form. Entrata in Redazione il 4 agosto 1978.