On the rigidity of hyperbolic cone-manifolds (Q556924)
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scientific article; zbMATH DE number 2182033
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the rigidity of hyperbolic cone-manifolds |
scientific article; zbMATH DE number 2182033 |
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On the rigidity of hyperbolic cone-manifolds (English)
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23 June 2005
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The author proves that if \(M\) is a compact hyperbolic cone--manifold of dimension \(n \geq 3\), whose singular locus is a closed codimension 2 submanifold and whose cone angles are all smaller than \(2\pi\), then \(M\) has no non--trivial infinitesimal Einstein deformation which preserves the cone angles. This result generalizes work of \textit{C. D. Hodgson} and \textit{S. P. Kerckhoff} [J. Diff. Geom. 48, No.1, 1--59 (1998; Zbl 0919.57009)] in dimension 3.
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hyperbolic cone manifold
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rigidity
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Einstein manifold
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