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 -a(2) <= Sec <= -b(2), where a >= b >= 0 are constants, we obtain universal eigenvalue inequalities. Moreover, we deduce the estimates of the upper bounds of eigenvalues.