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

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

2011-11-02

arxiv.org/abs/1111.0487v2

Mathematics

Geometric Topology

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

Scientific paper

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.

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