JournalsjstVol. 6, No. 4pp. 793–806

Zero and negative eigenvalues of the conformal Laplacian

  • A. Rod Gover

    University of Auckland, New Zealand

  • Asma Hassannezhad

    Bonn, Germany

  • Dmitry Jakobson

    McGill University, Montreal, Canada

  • Michael Levitin

    University of Reading, UK
Zero and negative eigenvalues of the conformal Laplacian cover
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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