arXivDaily arXiv每日学术速递 周一至周五更新
北美退伍军人节(Veterans Day),12 日无更新
arXiv 1003.1903math.SGmath.DG
收藏

接触同构群中的极大环面

Maximal Tori in Contactomorphism Groups

Charles P. Boyer

摘要:

我描述了一个一般的计划,将共轭类的环面的contactomorphism组的横向殆复结构紧凑的接触流形。此外,对于李代数含有一个Reeb向量场的Reeb型环面,我们可以把一个Sasaki锥与之联系起来。因此,对于K-接触型的切触结构,得到了称为束的Sasaki锥的配置,使得每个Sasaki锥与Reeb型环面的共轭类相关联。

英文摘要:

I describe a general scheme which associates conjugacy classes of tori in the contactomorphism group to transverse almost complex structures on a compact contact manifold. Moreover, to tori of Reeb type whose Lie algebra contains a Reeb vector field one can associate a Sasaki cone. Thus, for contact structures of K-contact type one obtains a configuration of Sasaki cones called a bouquet such that each Sasaki cone is associated with a conjugacy class of tori of Reeb type.

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。

↑