Zero and negative eigenvalues of the conformal Laplacian
Differential Geometry
2016-04-28 v2 Spectral Theory
Abstract
We show that zero is not an eigenvalue of the conformal Laplacian for generic Riemannian metrics. We also discuss non-compactness for sequences of metrics with growing number of negative eigenvalues of the conformal Laplacian.
Cite
@article{arxiv.1511.08524,
title = {Zero and negative eigenvalues of the conformal Laplacian},
author = {A. Rod Gover and Asma Hassannezhad and Dmitry Jakobson and Michael Levitin},
journal= {arXiv preprint arXiv:1511.08524},
year = {2016}
}