Zero center Lyapunov exponents and non compact central leaves

Details Zero center Lyapunov exponents and non compact central leaves Zero center Lyapunov exponents and non compact central leaves

2012-04-04

arxiv.org/abs/1204.0994v1

Mathematics

Dynamical Systems

Scientific paper

We prove that there exists partially hyperbolic diffeomorphisms of
$\toro{3}$, isotopic to Anosov automorphism, with zero center Lyapunov exponent
for Lebesgue almost every point. As a consequence, it follows that there are
partially hyperbolic diffeomorphisms of $\toro{3}$ with non-compact central
leaves with zero center Lyapunov exponent at almost every point.

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