Anomalous partially hyperbolic diffeomorphisms I: dynamically coherent examples
2014
We build an example of a non-transitive, dynamically coherent partially hyperbolic diffeomorphism $f$ on a closed $3$-manifold with exponential growth in its fundamental group such that $f^n$ is not isotopic to the identity for all $n\neq 0$. This example contradicts a conjecture in \cite{HHU}. The main idea is to consider a well-understood time-$t$ map of a non-transitive Anosov flow and then carefully compose with a Dehn twist.
Keywords:
- Correction
- Cite
- Save
- Machine Reading By IdeaReader
6
References
1
Citations
NaN
KQI