## A quasi-Anosov diffeomorphism that is not Anosov

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- by John Franks and Clark Robinson PDF
- Trans. Amer. Math. Soc.
**223**(1976), 267-278 Request permission

## Abstract:

In this note, we give an example of a diffeomorphism*f*on a three dimensional manifold

*M*such that

*f*has a property called quasi- Anosov but such that

*f*does not have a hyperbolic structure (is not Anosov). Mañé has given a method of extending

*f*to a diffeomorphism

*g*on a larger dimensional manifold

*V*such that

*g*has a hyperbolic structure on

*M*as a subset of

*V*. This gives a counterexample to a question of M. Hirsch.

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*Existence of dichotomies and invariant splittings for linear differential systems*. II (to appear).

## Additional Information

- © Copyright 1976 American Mathematical Society
- Journal: Trans. Amer. Math. Soc.
**223**(1976), 267-278 - MSC: Primary 58F15
- DOI: https://doi.org/10.1090/S0002-9947-1976-0423420-9
- MathSciNet review: 0423420