Coverings preserving the bottom of the spectrum

2018/11/19 by Polymerakis, Panagiotis · 2 citations
#35P15 #53C99 #58J50 #Differential Geometry (math.DG) #FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1811.07844

Abstract

We prove that if a Riemannian covering preserves the bottom of the spectrum of a Schrödinger operator, which belongs to the discrete spectrum of the operator on the base manifold, then the covering is amenable.

Cited by

• Small eigenvalues of pseudo-Laplacians
• On the spectral stability of finite coverings

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