  In this paper, we derive "universal" inequalities for the sums of eigenvalues
of the Hodge de Rham Laplacian on Euclidean closed Submanifolds and of
eigenvalues of the Kohn Laplacian on the Heisenberg group. These inequalities
generalize the Levitin-Parnovski inequality obtained for the sums of
eigenvalues of the Dirichlet Laplacian of a bounded Euclidean domain. New
Reilly and Asada inequalities are also obtained.
