Bounded harmonic functions on nonamenable covers of compact manifolds (Q1110686)
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scientific article; zbMATH DE number 4073412
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bounded harmonic functions on nonamenable covers of compact manifolds |
scientific article; zbMATH DE number 4073412 |
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Bounded harmonic functions on nonamenable covers of compact manifolds (English)
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1988
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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.
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regular cover
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compact manifold
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harmonic
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