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Characterisation of quasi-Anosov diffeomorphisms

Published online by Cambridge University Press:  17 April 2009

Graham Couper
Graham Couper
Affiliation:
Department of Mathematics, University of California, Berkeley, Berkeley, California, USA; Department of Mathematics, University of Newcastle, Newcastle, New South Wales.
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Abstract

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Let ƒ be a C1 diffeomorphism of a compact C∞ boundary–less manifold, and let ƒ# be the operator on the bounded or continuous sections of the tangent bundle (with supremum norm) defined by ƒ#η = Tƒ о η о ƒ−1. The main result of this paper is that ƒ is quasi-Anosov if and only if 1 – f# is injective and has closed range.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 17 , Issue 3 , December 1977 , pp. 321 - 334
Copyright
Copyright © Australian Mathematical Society 1977

References

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