Forme semi-locale des feuilletages legendriens
Differential Geometry
2014-11-18 v1
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.
Keywords
Cite
@article{arxiv.1411.4278,
title = {Forme semi-locale des feuilletages legendriens},
author = {Saâdi Benabbés and Camille Laurent-Gengoux and Zobida Souici-Benhammadi},
journal= {arXiv preprint arXiv:1411.4278},
year = {2014}
}
Comments
6 pages, in French