Bounding the invariant spectrum when the scalar curvature is non-negative

Abstract

On compact Riemannian manifolds with a large isometry group we investigate the invariant spectrum of the ordinary Laplacian. For either a toric Kaehler metric, or a rotationally-symmetric metric on the sphere, we produce upper bounds for all eigenvalues of the invariant spectrum assuming non-negative scalar curvature.

To appear in Contemp. Math. (special issue in honor of B.Y. Chen)