Smooth $T^ n$-valued cocycles for ergodic diffeomorphisms
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- by Jane M. Hawkins PDF
- Proc. Amer. Math. Soc. 93 (1985), 307-311 Request permission
Abstract:
We prove that if $f$ is any conservative, ergodic diffeomorphism of a smooth, connected, paracompact manifold, then in the set of smooth ${T^n}$-valued cocycles on $X$ for the ${\mathbf {Z}}$-action determined by $f$, there is a residual set which give ergodic skew product extensions.References
- Jane Hawkins, Smooth type $\textrm {III}$ diffeomorphisms of manifolds, Trans. Amer. Math. Soc. 276 (1983), no.Β 2, 625β643. MR 688966, DOI 10.1090/S0002-9947-1983-0688966-0
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- Klaus Schmidt, Cocycles on ergodic transformation groups, Macmillan Lectures in Mathematics, Vol. 1, Macmillan Co. of India, Ltd., Delhi, 1977. MR 0578731
Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 93 (1985), 307-311
- MSC: Primary 58F11; Secondary 28D99
- DOI: https://doi.org/10.1090/S0002-9939-1985-0770542-X
- MathSciNet review: 770542