Harmonic functions on manifolds on nonnegative Ricci curvature (Q2725071)
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scientific article; zbMATH DE number 1618755
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Harmonic functions on manifolds on nonnegative Ricci curvature |
scientific article; zbMATH DE number 1618755 |
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6 June 2002
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nonnegative Ricci curvature
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noncompact Riemannian manifold
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harmonic function
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Harmonic functions on manifolds on nonnegative Ricci curvature (English)
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This paper concerns spaces \({\mathcal H}^\alpha(M)\) of harmonic functions on a complete noncompact Riemannian \(n\)-manifold \(M\) -- producing an example of an \(M\) of Ricci curvature \(\geq 0\), and \(\dim{\mathcal H}^\alpha(M)> \dim{\mathcal H}^\alpha(\mathbb{R}^n)\).
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