SPECTRAL RIGIDITY OF COMPACT KAEHLER AND CONTACT MANIFOLDS

抄録

Complex projective space C{P_n} with the Fubini-Study metric, and the odd-dimensional constant curvature sphere {S^{2n + 1}} have recently been characterized by the spectrum of the Laplacian on 2-forms. In this paper, C{P_n} and {S^{2n + 1}} are characterized among the classes of compact Kaehler and Sasakian manifolds, respectively, by the spectrum of the Laplacian on p-forms for any fixed p.