五维球面上由辛叶构成的余维一光滑叶状结构
辛几何
2020-01-21 v3 几何拓扑
摘要
我们在五维球面上构造了一个余维一的光滑叶状结构，其中每一片叶都是一个辛四维流形，并且辛结构光滑变化。我们的构造意味着五维球面上存在一个完全正则的泊松结构。
引用
@article{arxiv.0909.3549,
title = {A smooth codimension-one foliation of the five-sphere by symplectic leaves},
author = {Pablo Suárez-Serrato and Alberto Verjovsky},
journal= {arXiv preprint arXiv:0909.3549},
year = {2020}
}
备注
We have withdrawn our paper due to a mistake in the main reference paper and errors in our construction. More over our result has been superseded by Y. Mitsumatsu (arXiv:1101.2319 Leafwise Symplectic Structures on Lawson's Foliation)