Abstract
An analog of the Baumslag–Solitar group naturally acts on the sphere by conformal transformations. The action is not locally rigid in higher dimensions, but exhibits a weak form of local rigidity. More precisely, any perturbation preserves a smooth conformal structure.
Citation
Masayuki Asaoka. "Rigidity of certain solvable actions on the sphere." Geom. Topol. 16 (3) 1835 - 1857, 2012. https://doi.org/10.2140/gt.2012.16.1835
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