Estimates of eigenvalues of a clamped problem (Q493145)

In this paper, the author provides universal estimates for the eigenvalues of the clamped plate problem (i.e., the Dirichlet problem for the biharmonic operator) in a class of Riemannian manifolds. In particular, such estimates are proved for complex projective spaces and for non-compact simply connected complete Riemannian manifolds with sectional curvature which is negative and bounded from below. This last case is a generalization of a result by \textit{Q. Wang} and \textit{C. Xia} [Calc. Var. Partial Differ. Equ. 40, No. 1--2, 273--289 (2011; Zbl 1205.35175)].