Zero and negative eigenvalues of the conformal Laplacian
classification
🧮 math.DG
math.SP
keywords
conformallaplacianeigenvaluesmetricsnegativezerodiscusseigenvalue
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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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