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math.DG2015
Zero and negative eigenvalues of the conformal Laplacian
A. Rod Gover, Asma Hassannezhad, Dmitry Jakobson +1
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 ne…
math.DG2015★ 1 cited
Eigenvalue inequalities on Riemannian manifolds with a lower Ricci curvature bound
Asma Hassannezhad, Gerasim Kokarev, Iosif Polterovich
We revisit classical eigenvalue inequalities due to Buser, Cheng, and Gromov on closed Riemannian manifolds, and prove the versions of these results for the Dirichlet and Neumann b…