Noncompact complete Riemannian manifolds with singular continuous spectrum embedded into the essential spectrum of the Laplacian, I. The hyperbolic case

Svetlana Jitomirskaya; Wencai Liu

doi:10.1090/tran/8112

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arXiv · 1908.03808

Noncompact complete Riemannian manifolds with singular continuous spectrum embedded into the essential spectrum of the Laplacian, I. The hyperbolic case

Svetlana Jitomirskaya·Wencai Liu

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Abstract

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.

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BibTeX RIS

Svetlana Jitomirskaya, Wencai Liu. 2019-08-10. Noncompact complete Riemannian manifolds with singular continuous spectrum embedded into the essential spectrum of the Laplacian, I. The hyperbolic case. https://doi.org/10.1090/tran/8112

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