A Remark on Conformally Compact Manifolds

Give a remark on conformally compact manifolds with the structure be given by an splitting type theorem and show that there are no k ≥ 2 orthogonal harmonic forms in H¹(L²(M)) under the assumption of (M,g)is an n-dimensional conformally compact manifold with Ric_M ≥ -(n-1) and λ₀(M)=n-2.