Geometric decompositions of almost contact manifolds
Symplectic Geometry
2012-11-21 v1 Differential Geometry
Abstract
These notes are intended to be an introduction to the use of approximately holomorphic techniques in almost contact and contact geometry. We develop the setup of the approximately holomorphic geometry. Once done, we sketch the existence of the two main geometric decompositions available for an almost contact or contact manifold: open books and Lefschetz pencils. The use of the two decompositions for the problem of existence of contact structures is mentioned.
Keywords
Cite
@article{arxiv.1211.4696,
title = {Geometric decompositions of almost contact manifolds},
author = {Francisco Presas},
journal= {arXiv preprint arXiv:1211.4696},
year = {2012}
}
Comments
30 pages, 2 figures