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arXiv · 1201.1401

Rigidity for piecewise smooth homeomorphisms on the circle

Kleyber Cunha·Daniel Smania
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Abstract

We find conditions for two piecewise C^{2+\nu} homeomorphisms f and g of the circle to be C^1 conjugate. Besides the restrictions on the combinatorics of the maps (we assume that the maps have bounded combinatorics), and necessary conditions on the one-side derivatives of points where f and g are not differentiable, we also assume zero mean nonlinearity for f and g.

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Kleyber Cunha, Daniel Smania. 2012-01-06. Rigidity for piecewise smooth homeomorphisms on the circle. https://doi.org/10.1016/j.anihpc.2012.09.004

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