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

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.

author list (cited authors)

  • Jitomirskaya, S., & Liu, W.

citation count

  • 0

complete list of authors

  • Jitomirskaya, Svetlana||Liu, Wencai

Book Title

  • arXiv

publication date

  • August 2019