Closing stable and unstable manifolds on the two sphere
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- by Clark Robinson PDF
- Proc. Amer. Math. Soc. 41 (1973), 299-303 Request permission
Abstract:
Let $f$ be a diffeomorphism of the two sphere. In this note we prove that if the unstable manifold of a fixed point $p$ for $f$ accumulates on the stable manifold of $p$, then $f$ can be approximated arbitrarily closely ${C^r},r \geqq 1$, such that they intersect.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 41 (1973), 299-303
- MSC: Primary 58F99
- DOI: https://doi.org/10.1090/S0002-9939-1973-0321141-7
- MathSciNet review: 0321141