- 94-359 M. Jiang, R. de la Llave, Y. Pesin
- On the Integrability of Intermediate Distributions
for Anosov Diffeomorphisms
Nov 20, 94
(auto. generated ps),
of related papers
Abstract. We study the integrability of intermediate distributions for Anosov
diffeomorphisms and provide an example of $C^\infty-$Anosov
diffeomorphism on three dimensional torus whose intermediate stable
foliation has leaves that admit only a finite number of derivatives.
We also show that this phenomenon is quite abundant. In dimension four
or higher this can happen even if the Lyapunov exponents at periodic
orbits are constant.