Calculus of Variations and Geometric Measure Theory

A. Rod Gover - A. Hassannezhad - D. Jakobson - M. Levitin

Zero and negative eigenvalues of the conformal Laplacian

created by hassannezhad1 on 04 Dec 2020

[BibTeX]

preprint

Inserted: 4 dec 2020

Year: 2015

ArXiv: 1511.08524 PDF

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.