Weak form of local rigidity of certain solvable actions on the sphere

Details Weak form of local rigidity of certain solvable actions on the sphere Weak form of local rigidity of certain solvable actions on the sphere

2011-09-09

arxiv.org/abs/1109.1902v1

Mathematics

Dynamical Systems

20 pages, no figures

Scientific paper

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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