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

Autor:	Huang, Yang
Rok vydání:	2013
Předmět:	Mathematics - Symplectic Geometry
Druh dokumentu:	Working Paper
Popis:	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. Comment: The proof of Lemma 2.14 and Lemma 3.1 are modified
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1306.6367 Zobrazit plný text záznamu View this record from Arxiv