Constructing Smale diffeomorphisms on compact surfaces
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- by Steve Batterson PDF
- Trans. Amer. Math. Soc. 257 (1980), 237-245 Request permission
Abstract:
A necessary condition for an isotopy class on a compact surface to admit a Smale diffeomorphism whose dynamics are a specified set of subshifts of finite type is that the Euler characteristic of the manifold be equal to a sum and difference of certain numbers obtained from the matrices representing the subshifts. In this paper it is shown that this condition is sufficient up to a finite power of the subshifts.References
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Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 257 (1980), 237-245
- MSC: Primary 58F15; Secondary 34Cxx
- DOI: https://doi.org/10.1090/S0002-9947-1980-0549164-1
- MathSciNet review: 549164