Engel structures with trivial characteristic foliations
辛几何
2014-10-01 v1 几何拓扑
摘要
Engel structures on M x S^1 and M x I are studied in this paper, where M is a 3-dimensional manifold. We suppose that these structures have characteristic line fields parallel to the fibres, S^1 or I. It is proved that they are characterized by contact structures on the cross section M, the twisting numbers, and Legendrian foliations on both ends M x dI in the case of M x I.
引用
@article{arxiv.math/0205100,
title = {Engel structures with trivial characteristic foliations},
author = {Jiro Adachi},
journal= {arXiv preprint arXiv:math/0205100},
year = {2014}
}
备注
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol2/agt-2-11.abs.html