Аннотация:
We prove that a fundamental group of leaves of a codimension one $C^2$-foliation with nonnegative Ricci curvature on a closed Riemannian manifold is finitely generated and almost Abelian, i.e., it contains finitely generated Abelian subgroup of finite index. In particular, we confirm the Milnor conjecture for manifolds which are leaves of a codimension one foliation with nonnegative Ricci curvature on a closed Riemannian manifold.
Ключевые слова и фразы:codimension one foliation, fundamental group, holonomy, Ricci curvature.