English

On Zoll Contact 5-Spheres

Symplectic Geometry 2025-09-12 v1

Abstract

We prove that any contact form on the standard contact 5-sphere with Zoll Reeb flow is strictly contactomorphic to a scaling of the standard Zoll contact form.

Keywords

Cite

@article{arxiv.2509.09639,
  title  = {On Zoll Contact 5-Spheres},
  author = {Julian Chaidez and Shira Tanny},
  journal= {arXiv preprint arXiv:2509.09639},
  year   = {2025}
}

Comments

8 pages with references. Comments welcome!