Collapsing Riemannian manifolds to the circle (Q1113103)
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scientific article; zbMATH DE number 4080315
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Collapsing Riemannian manifolds to the circle |
scientific article; zbMATH DE number 4080315 |
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Collapsing Riemannian manifolds to the circle (English)
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1989
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In this paper we study the manifolds which collapse to a circle. The main result is to prove that if the Riemannian manifold collapses to a circle, then the manifold admits a finite covering space which is homeomorphic to a compact solv-manifold for the dimension \(n\neq 4\).
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collapse to a circle
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Riemannian manifold
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covering space
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solv-manifold
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