Zero and negative eigenvalues of the conformal Laplacian
A. Rod Gover
University of Auckland, New ZealandAsma Hassannezhad
Bonn, GermanyDmitry Jakobson
McGill University, Montreal, CanadaMichael Levitin
University of Reading, UK
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 this article
A. Rod Gover, Asma Hassannezhad, Dmitry Jakobson, Michael Levitin, Zero and negative eigenvalues of the conformal Laplacian. J. Spectr. Theory 6 (2016), no. 4, pp. 793–806
DOI 10.4171/JST/142