Sur l'existence d'une infinité continue de structures asymptotiques sur \({\mathbb{R}}^ 2\). (On the existence of a continuous infinity of asymptotic stuctures on \({\mathbb{R}}^ 2)\) (Q1089618)
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scientific article; zbMATH DE number 4005078
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sur l'existence d'une infinité continue de structures asymptotiques sur \({\mathbb{R}}^ 2\). (On the existence of a continuous infinity of asymptotic stuctures on \({\mathbb{R}}^ 2)\) |
scientific article; zbMATH DE number 4005078 |
Statements
Sur l'existence d'une infinité continue de structures asymptotiques sur \({\mathbb{R}}^ 2\). (On the existence of a continuous infinity of asymptotic stuctures on \({\mathbb{R}}^ 2)\) (English)
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1988
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The existence of an uncountable infinity of asymptotic structures (i.e. equivalence classes of quasi-isometric Riemannian metrics) on the non- compact manifold \({\mathbb{R}}^ 2\) is shown.
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asymptotic structures
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quasi-isometric Riemannian metrics
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