Identification of two Frobenius manifolds

We identify two Frobenius manifolds obtained from two different differentia l Gerstenhaber-Batalin-Vilkovisky algebras on a compact Kahler manifold. On e is constructed on the Dolbeault cohomology in Cao-Zhou [6], and the other on the de Rham cohomology in the present paper. This can be considered as a generalization of the identification of the Dolbeault cohomology ring wit h the complexified de Rham cohomology ring on a Kahler manifold.