A Quasi-Anosov Diffeomorphism That is Not Anosov
Open Access
- 1 October 1976
- journal article
- Published by JSTOR in Transactions of the American Mathematical Society
- Vol. 223, 267-278
- https://doi.org/10.2307/1997528
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.Keywords
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