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arXiv · 1306.6367

On Legendrian foliations in contact manifold I: Singularities and neighborhood theorems

Yang Huang
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Abstract

In this note we study several aspects of coisotropic submanifolds of a contact manifold. In particular we give a structure theorem for the singularity of the characteristic foliation of a coisotropic submanifold. Moreover we establish the existence and uniqueness results of germs of contact structures near Legendrian foliations, which is a special case of coisotropic submanifold. This note can be thought of as an attempt to generalize the study of surfaces in three-dimensional contact geometry to higher dimensions.

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Yang Huang. 2013-06-26. On Legendrian foliations in contact manifold I: Singularities and neighborhood theorems. https://arxiv.org/abs/1306.6367

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