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arXiv · 1511.08524

Zero and negative eigenvalues of the conformal Laplacian

A. Rod Gover·Asma Hassannezhad·Dmitry Jakobson·Michael Levitin
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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.

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A. Rod Gover, Asma Hassannezhad, Dmitry Jakobson, Michael Levitin. 2016-04-27. Zero and negative eigenvalues of the conformal Laplacian. https://arxiv.org/abs/1511.08524

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