#### Volume 16, issue 3 (2012)

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Rigidity of certain solvable actions on the sphere

### Masayuki Asaoka

Geometry & Topology 16 (2012) 1835–1857
##### Abstract

An analog of the Baumslag–Solitar group $BS\left(1,k\right)$ 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.

##### Keywords
group actions, local rigidity
Primary: 37C85