Noncompact complete Riemannian manifolds with dense eigenvalues embedded in the essential spectrum of the Laplacian Institutional Repository Document uri icon


  • 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.

author list (cited authors)

  • Jitomirskaya, S., & Liu, W.

complete list of authors

  • Jitomirskaya, Svetlana||Liu, Wencai

publication date

  • May 2018