Rigidity of certain solvable actions on the sphere
Dynamical Systems
2014-11-11 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1109.1902,
title = {Rigidity of certain solvable actions on the sphere},
author = {Masayuki Asaoka},
journal= {arXiv preprint arXiv:1109.1902},
year = {2014}
}
Comments
21 pages, no figures