Spectral geometry of compact Hermitian symmetric submanifolds (Q1075617)

This paper is devoted to the proof of a theorem on a spectral inequality involving \(\lambda_ 3\leq n+3\) in spec(M) under certain assumptions on the first and the second eigenvalues of the Laplace-Beltrami operator on functions on M, where M is an n-dimensional compact (Einstein) Kaehler submanifold in \(CP^{n+m}\). The theorem is a partial generalization of another theorem by the same author stated in the paper.