Coverings preserving the bottom of the spectrum
Differential Geometry
2021-03-09 v1 Spectral Theory
Abstract
We prove that if a Riemannian covering preserves the bottom of the spectrum of a Schr\"{o}dinger operator, which belongs to the discrete spectrum of the operator on the base manifold, then the covering is amenable.
Cite
@article{arxiv.1811.07844,
title = {Coverings preserving the bottom of the spectrum},
author = {Panagiotis Polymerakis},
journal= {arXiv preprint arXiv:1811.07844},
year = {2021}
}
Comments
26 pages