叶状Milnor猜想
Foliated Milnor conjecture
摘要：
本文证明了闭黎曼流形的余维为1的非负里奇曲率C2-叶状基本群是非负生成的且几乎是交换的，即它包含有限指标的交换子群.特别地，我们证明了对于闭流形的余维为1的非负里奇曲率叶理的流形的Milnor猜想.
英文摘要：
We prove that a fundamental group of codimension one nonnegative Ricci curvature C2-foliation of a closed Riemannian manifold is finitely generated and almost abelian, i.e. it contains abelian subgroup of finite index. In particular, we confirm the Milnor conjecture for manifolds which are leaves of codimension one nonnegative Ricci curvature foliation of closed manifold.
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