On the Laplacian Spectrum on the p-forms on on the Product Riemannian Manifolds

Abstract:

      In this paper,it is proved that CP^ｎ×CP^ｎ and S^２ｎ＋１×S^２ｎ＋１(1)are uniquelycharacterized among the classes of the Riemannian products of compact Kachler mani-folds and the Riemannian products of compact Sasakian manifolds,respectively,by theLaplacian spectrum on p- forms for some p。