Rigidity of Einstein manifolds of nonpositive curvature (Q1360107)
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scientific article; zbMATH DE number 1034099
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rigidity of Einstein manifolds of nonpositive curvature |
scientific article; zbMATH DE number 1034099 |
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Rigidity of Einstein manifolds of nonpositive curvature (English)
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2 December 1997
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We give sufficient conditions for a compact Einstein manifold of nonpositive sectional curvature to be isometric to a hyperbolic manifold if they have isomorphic fundamental groups. We prove a finiteness result for Einstein metrics on a compact manifold of negative sectional curvature. Spectral rigidity of locally symmetric spaces of negative curvature is also considered.
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spectral rigidity
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compact Einstein manifold
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nonpositive sectional curvature
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hyperbolic manifold
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fundamental groups
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