Bounding homotopy types by geometry (Q1109348)
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scientific article; zbMATH DE number 4069743
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bounding homotopy types by geometry |
scientific article; zbMATH DE number 4069743 |
Statements
Bounding homotopy types by geometry (English)
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1988
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The main result is that for each dimension \(n\geq 2\), there are only finitely many homotopy types of Riemannian manifolds of dimension n given a fixed upper bound on the diameter, a lower bound on sectional curvature, and a lower bound on the volume.
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homotopy types
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diameter
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sectional curvature
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volume
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0.9034631
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0.89317364
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0.89236367
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0.8923094
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