Bounding the invariant spectrum when the scalar curvature is non-negative
Differential Geometry
2020-03-31 v1
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.
Keywords
Cite
@article{arxiv.2003.13613,
title = {Bounding the invariant spectrum when the scalar curvature is non-negative},
author = {Stuart James Hall and Thomas Murphy},
journal= {arXiv preprint arXiv:2003.13613},
year = {2020}
}
Comments
To appear in Contemp. Math. (special issue in honor of B.Y. Chen)