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arxiv: 1109.1902 · v2 · pith:YQE6QHEHnew · submitted 2011-09-09 · 🧮 math.DS

Rigidity of certain solvable actions on the sphere

classification 🧮 math.DS
keywords conformalrigiditysphereactionactionsactsanalogbaumslag-solitar
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An analog of the Baumslag-Solitar group BS(1,k) naturally acts on the sphere by conformal transformations. The action is not locally rigid in higher dimension, but exhibits a weak form of local rigidity. More precisely, any perturbation preserves a smooth conformal structure.

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