  In this paper, we compute universal inequalities of eigenvalues of a large
class of second-order elliptic differential operators in divergence form, that
includes, e.g., the Laplace and Cheng-Yau operators, on a bounded domain in a
complete Riemannian manifolds isometrically immersed in Euclidean space. A key
step in order to obtain the sequence of our estimates is to get the right
Yang-type first inequality. We also prove some inequalities for manifolds
supporting some special functions and tensors.

Differential Geometry;Spectral Theory