Geometric measure theory and manifolds of nonnegative Ricci curvature (Q1817243)
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scientific article; zbMATH DE number 952362
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Geometric measure theory and manifolds of nonnegative Ricci curvature |
scientific article; zbMATH DE number 952362 |
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Geometric measure theory and manifolds of nonnegative Ricci curvature (English)
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1 December 1996
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Let \(M\) be a complete noncompact Riemannian manifold of dimension \(n\). Considering the following problem: ``Suppose that the Ricci curvature of \(M\) is everywhere positive; then, is it true that \(H_{n-1}(M;\mathbb{Z})=\{0\}\)?'', the authors announce some theorems which regard it.
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