English

On the Spectrum of Certain Hadamard Manifolds

Differential Geometry 2023-07-26 v3 Spectral Theory

Abstract

We show the absolute continuity of the spectrum and determine the spectrum as a set for two classes of Hadamard manifolds and for specific domains and quotients of one of the classes.

Keywords

Cite

@article{arxiv.2301.10986,
  title  = {On the Spectrum of Certain Hadamard Manifolds},
  author = {Werner Ballmann and Mayukh Mukherjee and Panagiotis Polymerakis},
  journal= {arXiv preprint arXiv:2301.10986},
  year   = {2023}
}