Bounded 3-manifolds admit negatively curved metrics with concave boundary (Q1345146)
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scientific article; zbMATH DE number 727337
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bounded 3-manifolds admit negatively curved metrics with concave boundary |
scientific article; zbMATH DE number 727337 |
Statements
Bounded 3-manifolds admit negatively curved metrics with concave boundary (English)
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26 February 1995
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A metric can be constructed on any 3-manifold with non-empty boundary such that with respect to the metric the manifold has negative sectional curvature and the boundary is concave. In particular, the 3-ball admits such a metric.
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concave boundary
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manifold with boundary
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3-manifold
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negative sectional curvature
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