Open books on contact five-manifolds
辛几何
2007-06-13 v2 几何拓扑
摘要
The aim of this paper is to give an alternative proof of a theorem about the existence of contact structures on five-manifolds due to Geiges. This theorem asserts that simply-connected five-manifolds admit a contact structure in every homotopy class of almost contact structures. Our proof uses the open book construction of Giroux.
关键词
引用
@article{arxiv.math/0602170,
title = {Open books on contact five-manifolds},
author = {Otto van Koert},
journal= {arXiv preprint arXiv:math/0602170},
year = {2007}
}
备注
15 pages, 2 figures; typos corrected, used simpler argument for section 3; to appear in Annales de l'institut Fourier