The supremum of conformally covariant eigenvalues in a conformal class
Differential Geometry
2015-10-28 v2
Abstract
Let (M,g) be a compact Riemannian manifold of dimension >2. We show that there is a metric h conformal to g and of volume 1 such that the first positive eigenvalue the conformal Laplacian with repect to h is arbitrarily large. A similar statement is proven for the first positive eigenvalue of the Dirac operator on a spin manifold of dimension >1.
Cite
@article{arxiv.0708.0529,
title = {The supremum of conformally covariant eigenvalues in a conformal class},
author = {Bernd Ammann and Pierre Jammes},
journal= {arXiv preprint arXiv:0708.0529},
year = {2015}
}