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Harmonic functions on manifolds on nonnegative Ricci curvature - MaRDI portal

Harmonic functions on manifolds on nonnegative Ricci curvature (Q2725071)

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scientific article; zbMATH DE number 1618755
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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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