Coverings preserving the bottom of the spectrum

Panagiotis Polymerakis

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arXiv · 1811.07844

Coverings preserving the bottom of the spectrum

Panagiotis Polymerakis

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Abstract

We prove that if a Riemannian covering preserves the bottom of the spectrum of a Schr\"{o}dinger operator, which belongs to the discrete spectrum of the operator on the base manifold, then the covering is amenable.

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Panagiotis Polymerakis. 2018-11-19. Coverings preserving the bottom of the spectrum. https://arxiv.org/abs/1811.07844

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