pith. sign in

arxiv: 1204.0994 · v2 · pith:BHFQ4KTGnew · submitted 2012-04-04 · 🧮 math.DS

Central Lyapunov exponent of partially hyperbolic diffeomorphisms of mathbb{T}³

classification 🧮 math.DS
keywords centraldiffeomorphismsexponenthyperboliclyapunovpartiallyanosovisotopic
0
0 comments X
read the original abstract

In this paper we construct some "pathological" volume preserving partially hyperbolic diffeomorphisms on $\toro{3}$ such that their behaviour in small scales in the central direction (Lyapunov exponent) is opposite to the behavior of their linearization. These examples are isotopic to Anosov. We also get partially hyperbolic diffeomorphisms isotopic to Anosov (consequently with non-compact central leaves) with zero central Lyapunov exponent at almost every point.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.