Existence of Engel structures
几何拓扑
2009-01-08 v1 辛几何
摘要
We develop a construction of Engel stuctures on 4-manifolds based on decompositions of manifolds into round handles. This allows us to show that all parallelizable 4-manifolds admit an Engel structure. We also show that, given two Engel manifolds M_1,M_2 satisfying a certain condition on the characteristic foliation, there is an Engel structure on M_1#M_2#(S^2xS^2) which is closely related to the original Engel structures.
引用
@article{arxiv.math/0411217,
title = {Existence of Engel structures},
author = {T. Vogel},
journal= {arXiv preprint arXiv:math/0411217},
year = {2009}
}
备注
57 pages, 14 figures