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On Legendrian foliations in contact manifolds I: Singularities and neighborhood theorems
2015
Mathematical Research Letters
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.
doi:10.4310/mrl.2015.v22.n5.a6
fatcat:5cjl5c5qhjgwhjtdjmwbcl7maa