NONCOMPACT COMPLETE RIEMANNIAN MANIFOLDS WITH SINGULAR CONTINUOUS SPECTRUM EMBEDDED INTO THE ESSENTIAL SPECTRUM OF THE LAPLACIAN, I. THE HYPERBOLIC CASE Academic Article 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.

published proceedings

  • TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

author list (cited authors)

  • Jitomirskaya, S., & Liu, W.

complete list of authors

  • Jitomirskaya, Svetlana||Liu, Wencai

publication date

  • May 2020