JournalsjstVol. 12, No. 3pp. 993–1022

Coverings preserving the bottom of the spectrum

  • Panagiotis Polymerakis

    Max Planck Institute for Mathematics, Bonn, Germany
Coverings preserving the bottom of the spectrum cover
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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.

Cite this article

Panagiotis Polymerakis, Coverings preserving the bottom of the spectrum. J. Spectr. Theory 12 (2022), no. 3, pp. 993–1022

DOI 10.4171/JST/423