Superrigidity for homomorphisms into isometry groups of \(\text{CAT}(-1)\) spaces (Q1377259)
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scientific article; zbMATH DE number 1112318
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Superrigidity for homomorphisms into isometry groups of \(\text{CAT}(-1)\) spaces |
scientific article; zbMATH DE number 1112318 |
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Superrigidity for homomorphisms into isometry groups of \(\text{CAT}(-1)\) spaces (English)
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13 May 1998
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A \(\text{CAT}(-1)\) space is a geodesic metric space in which the comparison maps of its geodesic triangles into the usual hyperbolic plane are distance increasing. In the paper three types of rigidity results related to \(\text{CAT}(-1)\) spaces are proved, namely the rigidity of the actions on \(\text{CAT}(-1)\) spaces under the commensurability subgroups, the higher rank lattices and certain ergodic cocycles.
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\(\text{CAT}(-1)\) space
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rigidity
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commensurability subgroups
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higher rank lattices
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ergodic cocycles
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superrigidity
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boundary theory
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