English

A Remark on the Reeb Flow for Spheres

Symplectic Geometry 2013-04-30 v2

Abstract

We prove the non--triviality of the Reeb flow for the (2n+1)--dimensional standard contact spheres inside the fundamental group of their contactomorphism group, n greater than 3. The argument uses the existence of homotopically non--trivial 2--spheres in the space of contact structures of a 3--Sasakian manifold.

Keywords

Cite

@article{arxiv.1304.5785,
  title  = {A Remark on the Reeb Flow for Spheres},
  author = {Roger Casals and Francisco Presas},
  journal= {arXiv preprint arXiv:1304.5785},
  year   = {2013}
}

Comments

8 pages

R2 v1 2026-06-22T00:03:47.669Z