Estimates of eigenvalues of a clamped problem

In this paper, for the eigenvalue problem of a clamped plate problem on complex projective space with holomorphic sectional curvature c(> 0) and n(≥3)-dimensional noncompact simply connected complete Riemannian manifold with sectional curvature Sec satisfying -a²≤ Sec ≤ -b², where a ≥ b ≥ 0 are constants, we obtain universal eigenvalue inequalities. Moreover, we deduce the estimates of the upper bounds of eigenvalues.