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arXiv · 1411.5870

Non-existence of certain singularities in Legendrian foliations

Yang Huang
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Abstract

In this paper we show that the singular locus of a Legendrian foliation as defined in [Hua13] is a compact submanifold whose connected components are of codimension at most two. As a consequence, given any closed $(n+1)$-dimensional coisotropic submanifold $W$ in a contact $(2n+1)$-manifold, the contact structure in a sufficiently small neighborhood of $W$ is uniquely determined by the characteristic (Legendrian) foliation.

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Yang Huang. 2014-11-21. Non-existence of certain singularities in Legendrian foliations. https://arxiv.org/abs/1411.5870

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