Aleksandrov spaces of curvature that are bounded above (Q1360744)
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scientific article; zbMATH DE number 1037702
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Aleksandrov spaces of curvature that are bounded above |
scientific article; zbMATH DE number 1037702 |
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Aleksandrov spaces of curvature that are bounded above (English)
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3 March 1998
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The paper contains ten theorems without proofs about Alexandrov spaces of curvature that is bounded above. These spaces are a popular and important object of modern geometric investigations. One of these theorems asserts that a Busemann \(G\)-space with an embedding curvature that is locally bounded above is isometric to a Riemannian manifold of class \(C^0\) (with \(C^1\)-atlas, in which the components of the metric tensor are continuous).
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Aleksandrov space
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curvature bounded above
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