abstract
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We construct Riemannian manifolds with singular continuous spectrum embedded in the absolutely continuous spectrum of the Laplacian. Our manifolds are asymptotically hyperbolic with sharp curvature bounds.
NONCOMPACT COMPLETE RIEMANNIAN MANIFOLDS WITH SINGULAR CONTINUOUS SPECTRUM EMBEDDED INTO THE ESSENTIAL SPECTRUM OF THE LAPLACIAN, I. THE HYPERBOLIC CASE
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authors
published proceedings
- TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
altmetric score
- 1.6
author list (cited authors)
- Jitomirskaya, S., & Liu, W.
citation count
- 1
complete list of authors
- Jitomirskaya, Svetlana||Liu, Wencai
publication date
- August 2020
publisher
- American Mathematical Society (AMS) Publisher