积流形与分段纤维化流形上切触形式的构造
辛几何
2013-08-13 v4
摘要
我们研究闭流形上切触形式的构造。我们定义了强辛折叠结构的概念,并证明如果 承受这样的结构且 是切触的,则 上存在切触形式。该结果被推广至满足某些自然条件的纤维化上。文中给出了若干例子与应用。
引用
@article{arxiv.1204.1692,
title = {Constructions of contact forms on products and piecewise fibered manifolds},
author = {Bogusław Hajduk and Rafał Walczak},
journal= {arXiv preprint arXiv:1204.1692},
year = {2013}
}
备注
23 pages, 3 figures. It is a new and rewritten version of previously submitted article. Some errors were corrected and some proofs were simplified. The material is presented in a more readable manner. Comments are welcome