Surveys in Differential Geometry

Volume 23 (2018)

Bottom of spectra and coverings

Pages: 1 – 33

DOI: https://dx.doi.org/10.4310/SDG.2018.v23.n1.a1

Authors

Werner Ballmann (Max Planck Institute for Mathematics, Bonn, Germany)

Panagiotis Polymerakis (Max Planck Institute for Mathematics, Bonn, Germany)

Abstract

We discuss the behaviour of the bottom of the spectrum of scalar Schrödinger operators under Riemannian coverings.

Keywords

bottom of spectrum, covering

2010 Mathematics Subject Classification

35P15, 53C99, 58J50

We are grateful to the Max Planck Institute for Mathematics and the Hausdorff Center for Mathematics in Bonn for their support and hospitality.

Published 5 May 2020