Universal inequalities for eigenvalues of the Dirichlet Laplacian on conformally flat Riemannian manifolds

In this paper we study eigenvalues of the Dirichlet Laplacian on conformally flat Riemannian manifolds. In particular we establish some universal inequality for eigenvalues of the Dirichlet Laplacian on the hyperbolic space ${\mathbb{H}}^n(-1)$.