Smooth type $\textrm {III}$ diffeomorphisms of manifolds
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- by Jane Hawkins PDF
- Trans. Amer. Math. Soc. 276 (1983), 625-643 Request permission
Abstract:
In this paper we prove that every smooth paracompact connected manifold of dimension $\geqslant 3$ admits a smooth type ${\text {III}}_\lambda$ diffeomorphism for every $0 \leqslant \lambda \leqslant 1$. (Herman proved the result for $\lambda = 1$ in [7].) The result follows from a theorem which gives sufficient conditions for the existence of smooth ergodic real line extensions of diffeomorphisms of manifolds.References
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Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 276 (1983), 625-643
- MSC: Primary 58F11; Secondary 28D99
- DOI: https://doi.org/10.1090/S0002-9947-1983-0688966-0
- MathSciNet review: 688966