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Rigidity of symplectic Anosov diffeomorphisms on low dimensional tori

Published online by Cambridge University Press:  19 September 2008

L. Flaminio  and
A. Katok
L. Flaminio
Affiliation:
Department of Mathematics, 201 Walker Hall, University of Florida, Gainesville, Florida 32611, USA
A. Katok
Affiliation:
Mathematics 253–37, California Institute of Technology, Pasadena, California 91125, USA
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Abstract

We show that any symplectic Anosov diffeomorphism of a four torus T4 with sufficiently smooth stable and unstable foliations is smoothly conjugate to a linear hyperbolic automorphism of T4.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 11 , Issue 3 , September 1991 , pp. 427 - 441
Copyright
Copyright © Cambridge University Press 1991

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References

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