Differentiable conjugacy for groups of area preserving circle diffeomorphisms

Daniel Monclair

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arXiv · 1402.0424

Differentiable conjugacy for groups of area preserving circle diffeomorphisms

Daniel Monclair

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Abstract

We study groups of circle diffeomorphisms whose action on the cylinder $\mathcal C=\mathbb S^1\times \mathbb S^1\setminus \Delta$ preserves a volume form. We first show that such a group is topologically conjugate to a subgroup of $\rm{PSL}(2,\mathbb R)$, then discuss the existence of a differentiable conjugacy.

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BibTeX RIS

Daniel Monclair. 2014-02-03. Differentiable conjugacy for groups of area preserving circle diffeomorphisms. https://arxiv.org/abs/1402.0424

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