Bottom of spectra and coverings
Werner Ballmann, Panagiotis Polymerakis
TL;DR
This paper investigates how the lowest eigenvalue of scalar Schrödinger operators changes when considering Riemannian coverings, providing insights into spectral behavior in geometric analysis.
Contribution
It introduces new results on the spectral bottom behavior of Schrödinger operators under Riemannian coverings, extending previous understanding in geometric spectral theory.
Findings
Characterization of spectral bottom under coverings
Conditions affecting spectrum behavior
Implications for geometric analysis
Abstract
We discuss the behaviour of the bottom of the spectrum of scalar Schr\"odinger operators under Riemannian coverings.
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