论文标题
Sasaki与Kähler群体
Sasaki versus Kähler groups
论文作者
论文摘要
我们研究了紧凑的Sasaki歧管的基本群体,并表明与Kähler群体相比,它们表现出相当不同的行为。在采用直接产品的情况下,这类组并未关闭,并且在萨萨基歧管的尺寸上通常有一个上限,从而实现了给定的群体。最富有的sasaki群体是在维度5中出现的。
We study fundamental groups of compact Sasaki manifolds and show that compared to Kähler groups, they exhibit rather different behaviour. This class of groups is not closed under taking direct products, and there is often an upper bound on the dimension of a Sasaki manifold realising a given group. The richest class of Sasaki groups arises in dimension 5.