We give examples of tight high dimensional contact manifolds admitting a contactomorphism whose powers are all smoothly isotopic but not contact-isotopic to the identity. This is a generalization of an observation in dimension 3 by Gompf, also reused by Ding and Geiges.
- Pub Date:
- September 2018
- Mathematics - Symplectic Geometry;
- v2: The content of this revision corresponds to the published version, which includes in particular several overall improvements following the referee's suggestions. v1: 15 pages. Comments are welcome!