具有K-切触和Sasakian结构的同调Smale-Barden流形
Homology Smale-Barden manifolds with K-contact and Sasakian structures
摘要：
Kollár发现了5维流形上Sasakian结构存在的微妙障碍。在本文中，我们开发的方法，使用这些障碍区分K-接触流形Sasakian的。特别是，我们发现了第一个例子的封闭5-流形M与$H_1(M,Z)=0$这是K-接触，但没有半正则Sasakian结构。
英文摘要：
Kollár has found subtle obstructions to the existence of Sasakian structures on 5-dimensional manifolds. In the present article we develop methods of using these obstructions to distinguish K-contact manifolds from Sasakian ones. In particular, we find the first example of a closed 5-manifold M with $H_1(M,Z)=0$ which is K-contact but which carries no semi-regular Sasakian structures.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
