The Reeb foliation arises as a family of Legendrian submanifolds at the end of a deformation of the standard S^3 in S^5

Abstract

We realize the Reeb foliation of S^3 as a family of Legendrian submanifolds of the unit S^5 \subset C^3, Moreover we construct a deformation of the standard contact S^3 in S^5, via a family of contact submanifolds, into this realization.

4 pages, 1 figure; revised in terms of expressiveness particularly added a figure; added a lemma concerning negative stabilizations

References in corpus (2)

• Géométrie de contact: de la dimension trois vers les dimensions supérieures
• Reeb foliations on S^5 and contact 5-manifolds violating the Thurston-Bennequin inequality

Cited by in corpus (1)

• Braided embeddings of contact 3-manifolds in the standard contact 5-sphere