Bottom of spectra and coverings

2019/11/11 by Ballmann, Werner, Polymerakis, Panagiotis
#35P15 #53C99 #58J50 #Differential Geometry (math.DG) #FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1911.04371

Abstract

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

Related

• Bottom of spectra and coverings of orbifolds
• Coverings preserving the bottom of the spectrum
• Bottom of spectra and amenability of coverings
• Sharp bottom spectrum and scalar curvature rigidity
• Schrödinger Operators with Thin Spectra