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

Atsuhide Mori

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arXiv · 1111.0487

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

Atsuhide Mori

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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.

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Atsuhide Mori. 2011-11-02. The Reeb foliation arises as a family of Legendrian submanifolds at the end of a deformation of the standard S^3 in S^5. https://arxiv.org/abs/1111.0487

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