Rigidity of certain solvable actions on the sphere (Q441134)
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scientific article; zbMATH DE number 6068637
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rigidity of certain solvable actions on the sphere |
scientific article; zbMATH DE number 6068637 |
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Rigidity of certain solvable actions on the sphere (English)
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20 August 2012
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Many smooth actions of discrete groups exhibit local rigidity. The author studies an analog of the Baumslag-Solitar group \(\mathrm{BS}(1,k)\), which naturally acts on the sphere by conformal transformations: he proves that the action is not locally rigid in higher dimensions, but any perturbation preserves a smooth conformal structure.
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group actions
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local rigidity
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Baumslag-Solitar group
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0.9152781
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0.9098997
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0.9091086
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0.9014976
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0.9008043
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0.8989991
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0.8947055
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