Noncompact complete Riemannian manifolds with dense eigenvalues embedded in the essential spectrum of the Laplacian
Differential Geometry
2019-04-10 v2 Mathematical Physics
math.MP
Spectral Theory
Abstract
We prove sharp criteria on the behavior of radial curvature for the existence of asymptotically flat or hyperbolic Riemannian manifolds with prescribed sets of eigenvalues embedded in the spectrum of the Laplacian. In particular, we construct such manifolds with dense embedded point spectrum and sharp curvature bounds.
Keywords
Cite
@article{arxiv.1805.01072,
title = {Noncompact complete Riemannian manifolds with dense eigenvalues embedded in the essential spectrum of the Laplacian},
author = {Svetlana Jitomirskaya and Wencai Liu},
journal= {arXiv preprint arXiv:1805.01072},
year = {2019}
}
Comments
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