On the structure of hyperbolic manifolds (Q1766479)
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scientific article; zbMATH DE number 2141382
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the structure of hyperbolic manifolds |
scientific article; zbMATH DE number 2141382 |
Statements
On the structure of hyperbolic manifolds (English)
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7 March 2005
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For \(n \geq 2\), explicit estimates for the Margulis constant are obtained giving rise to a thick and thin decomposition of hyperbolic \(n\)-manifolds of finite volume. As a consequence, new universal lower bounds for the volume and Gromov invariant and a geometrical inequality between injectivity radius and diameter for compact manifolds are obtained.
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hyperbolic manifold
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finite volume
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Margulis constant
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thick and thin decomposition
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injectivity radius
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diameter
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Gromov invariant
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