Rigidity of certain solvable actions on the sphere (Q441134)

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scientific article; zbMATH DE number 6068637
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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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