Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Quasi-Anosov diffeomorphisms and hyperbolic manifolds


Author: Ricardo Mañé
Journal: Trans. Amer. Math. Soc. 229 (1977), 351-370
MSC: Primary 58F15
MathSciNet review: 0482849
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let f be a diffeomorphism of a smooth manifold N and $ M \subset N$ a compact boundaryless submanifold such that it is a hyperbolic set for f. The diffeomorphism f/M is characterized and it is proved that it is Anosov if and only if M is an invariant isolated set of f (i.e. the maximal invariant subset of some compact neighborhood). Isomorphisms of vector bundles with the property that the zero section is an isolated subset are studied proving that they can be embedded in hyperbolic vector bundle isomorphisms.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 58F15

Retrieve articles in all journals with MSC: 58F15


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1977-0482849-4
PII: S 0002-9947(1977)0482849-4
Keywords: Hyperbolic set, Anosov diffeomorphism, stability
Article copyright: © Copyright 1977 American Mathematical Society