Bounded harmonic functions on nonamenable covers of compact manifolds
type: Item
instance of: scholarly article
title: Bounded harmonic functions on nonamenable covers of compact manifolds
zbMATH Open document ID: 0657.31015
DOI: 10.1007/BF02766207
published in: Israel Journal of Mathematics
publication date: 1988-01-01T00:00:00Z
review text: The main result of the paper says that if a regular cover M of a compact manifold admits a nonconstant bounded harmonic function then the linear space of such functions is infinite dimensional. As a corollary: any nonamenable cover of a compact manifold possesses an infinite dimensional space of bounded harmonic functions.
Mathematics Subject Classification ID: 31C12
Mathematics Subject Classification ID: 53C99
zbMATH DE Number: 4073412
zbMATH Keywords: regular cover
zbMATH Keywords: compact manifold
zbMATH Keywords: harmonic
author: Yuri Kifer
reviewed by: Yuri Kifer
MaRDI profile type: Publication
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Wikidata QID: Q125373045
description: scientific article; zbMATH DE number 4073412