Global rigidity of solvable group actions on S

Abstract

In this paper we find all solvable subgroups of Diff(S1) and classify their actions. We also investigate the Cr local rigidity of actions of the solvable Baumslag–Solitar groups on the circle. The investigation leads to two novel phenomena in the study of infinite group actions on compact manifolds. We exhibit a finitely generated group Γ and a manifold M… (More)

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