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arXiv · 1411.4278

Forme semi-locale des feuilletages legendriens

Saâdi Benabbés·Camille Laurent-Gengoux·Zobida Souici-Benhammadi
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Abstract

We describe a semi-local canonical form for Legendrian foliations on contact manifolds in the neighbourhood of a Legendrian submanifold. This result generalizes local results by Libermann and Pang on Legendrian foliations on contact manifolds, and is analogeous to a semi-local result by Weinstein in the symplectic case. For the proof, we introduce and use a class of cohomology that obstructs the possibility to make a Legendrian foliation flat.

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Saâdi Benabbés, Camille Laurent-Gengoux, Zobida Souici-Benhammadi. 2014-11-16. Forme semi-locale des feuilletages legendriens. https://arxiv.org/abs/1411.4278

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