Comptes Rendus
no. 1-2
Differential Geometry
The Reeb foliation arises as a family of Legendrian submanifolds at the end of a deformation of the standard S3 in S5
Presented by: Jean-Pierre Demailly
Atsuhide Mori1
1 Graduate School of Science, Osaka University, Toyonaka, Osaka 560-0043, Japan
Comptes Rendus. Mathématique, Volume 350 (2012) no. 1-2, pp. 67-70

We realize the Reeb foliation of S3 as a family of Legendrian submanifolds of the unit S5⊂C3. Moreover, we construct a deformation of the standard contact S3 in S5, via a family of contact submanifolds, into this realization.

Nous réalisons le feuilletage de Reeb comme une famille de sous-variétés legendriennes de la sphère unité S5 dans C3. Par ailleurs, nous construisons une déformation de la structure de contact canonique S3 dans S5 via une famille de sous-variétés de contact, aboutissant au feuilletage ainsi réalisé.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2012.01.001

Atsuhide Mori 1

1 Graduate School of Science, Osaka University, Toyonaka, Osaka 560-0043, Japan 
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Atsuhide Mori. The Reeb foliation arises as a family of Legendrian submanifolds at the end of a deformation of the standard $ {S}^{3}$ in $ {S}^{5}$. Comptes Rendus. Mathématique, Volume 350 (2012) no. 1-2, pp. 67-70. doi: 10.1016/j.crma.2012.01.001

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