The Huber theorem for non-compact conformally flat manifolds (Q1601063)
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scientific article; zbMATH DE number 1756816
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Huber theorem for non-compact conformally flat manifolds |
scientific article; zbMATH DE number 1756816 |
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The Huber theorem for non-compact conformally flat manifolds (English)
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17 June 2002
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The authors show that the Huber-type conclusion is true for a complete Riemannian manifold \(M\) whose Ricci curvature belongs to \(L^{n/2}(M)\) if either \(M\) is a conformal domain with volume satisfying a growth condition in a compact Riemannian manifold or if \(M\) is conformally flat of dimension 4 and verifies some additional geometric properties. Partial results are given in other dimensions. The comparison with different results is discussed.
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non compact Riemannian manifolds
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Ricci curvature
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conformal geometry
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compactification
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asymptotically locally Euclidian manifolds
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